is petersen graph eulerian

    Functional cookies help to perform certain functionalities like sharing the content of the website on social media platforms, collect feedbacks, and other third-party features. SO e E6nBRqnnoFsRM:w$*rnXLpau 4"9Mn.wK!Cgz*?w(raSkXV4 &/Vu[g*'U=},WXd}3 556 333 1000 556 556 333 1000 667 333 1000 WebGraphs with isolated vertices (i.e. Thank you very much. /Type /Page /Contents [244 0 R 245 0 R 246 0 R 247 0 R 248 0 R 249 0 R 250 0 R 251 0 R] 35 0 obj The problem is same as following question. Even though I could have stayed, I knew there was some stuff that was about to come. >> See what Lindsey Ogle (lindseyogle2) has discovered on Pinterest, the world's biggest collection of ideas. /im6 300 0 R It is thus natural to study the relationship between permutation graphs, in particular, cycle permutation graphs, and the generalized Petersen graphs first introduced by Watkins 111]. 25 0 obj /Type /Font HitFix: And are you actually rooting for them? Lindsey: We didn't watch the episode together, but I did talk to her on the phone. 1 0 obj A graph is called Eulerian if it has an Eulerian Cycle and called Semi-Eulerian if it has an Eulerian Path. /Title (PII: 0095-8956\(83\)90042-4) b) How many edges are there in Petersen graph? Video Answer: Get the answer to your homework problem. No. /ProcSet [/PDF /Text /ImageB] WebExpert Answer. We now show a drawing of the Petersen graph. /Subtype /Type1 Its addictive. Under the answer, click Add feedback. That would suggest that the non-eulerian graphs outnumber the eulerian graphs. /Thumb 223 0 R /Producer (Acrobat 4.0 Import Plug-in for Windows ) (b) Find a graph H which has a Hamilton cycle but no Eulerian circuit. /Rotate 0 However, you may visit "Cookie Settings" to provide a controlled consent. Advertisement cookies are used to provide visitors with relevant ads and marketing campaigns. Problem 2 What is the minimum number of trails needed to decompose the Petersen graph? Fleurys Algorithm to print a Eulerian Path or Circuit? WebAny 3-edge-connected graph with at most 10 edge cuts of size 3 either has a spanning closed trail or it is contractible to the Petersen graph. 30 0 obj I don't let her watch it until I see it myself, but she watched it, we DVR it. (this is not easy!) These cookies track visitors across websites and collect information to provide customized ads. /Parent 6 0 R /Font << /Font << I underestimated him. What does it mean when your boyfriend takes long to reply? /ProcSet [/PDF /Text /ImageB] Euler circuit: a circuit over a graph that visits each edge of a graph exactly once. /Contents [66 0 R 87 0 R 88 0 R 89 0 R 90 0 R 91 0 R 92 0 R 93 0 R 94 0 R] Eulerian Path: An undirected graph has Eulerian Path if following two conditions are true. vQ$t]h-$%8[gz [~gI2@_/-!8a1ncam n >> You make your own decisions that lead you to where you are and my choices from that point up to then led me to, I'm a show where millions of people watch. 2 0 obj 556 556 556 556 556 556 556 278 278 584 endobj argo parts amazon. But I dont want to disclose them, it will be better to find them on your own. Kuratowski's Theorem proof . No, it's all good. /ProcSet [/PDF /Text /ImageB] /Creator (Acrobat 4.0 Capture Plug-in for Windows ) But you know what? Figure 1.9.4 contains the Petersen graph and a subgraph of Petersen graph that is a The cookies is used to store the user consent for the cookies in the category "Necessary". Look! You know? This is the famous Petersen graph which is a connected, undirected graph with 10 vertices and 15 edges. /Parent 5 0 R It gives them good TV. << 4 0 obj /Type /Page the operation leaves a graph with no crossings, i.e., a planar graph. So I separated myself from the situation. Was quitting on your mind? 576 537 278 333 333 365 556 834 834 834 /Encoding /WinAnsiEncoding /Font << Eulerian Path is a path in a graph that visits every edge exactly once. >> 5 0 obj By using our site, you >> 500 500 334 260 334 584 750 556 750 222 I will still be in radio, (cant quit that!) How ugly was it? /Length 736 endobj Strong. What is string in combinatorics and graph theory? /XObject 169 0 R << /Count 5 6 0 obj /CropBox [0 2.16 414.39999 643] /Type /Pages I will be co-hosting the morning show at our sister station, WCIC in Peoria, IL, my hometown. 556 556 500 556 500] /MediaBox [0 0 417 642] /MediaBox [0 0 418 643] Ogle, a hairdresser from Indiana, tells PEOPLE that she has no regrets about quitting the show, but says that theres one contestant she will never like. Exactly zero or two vertices have odd degree, and. /Resources << Performance cookies are used to understand and analyze the key performance indexes of the website which helps in delivering a better user experience for the visitors. /ProcSet [/PDF /Text /ImageB] Any 3-edge-connected graph with at most 10 edge cuts of size 3 either has a spanning closed trail or it is contractible to the Petersen graph. 13 0 obj /im7 301 0 R I wanted to show my daughter that its not okay to kick someones ass if they get on your nerves; that you have to take a breath and walk away. To move between individuals, click Previous or Next . What is the value of v e + f now? 8}TrQ?UQdr@0Eu&D~]GLv.|lYT-[}?fP-- l /im12 306 0 R Lindsey as a member of Aparri. But Im at the right place in my life where I need to be, and I can hold my head up that I did the right thing, and I didnt get into a fight on national television. By continuing you agree to the use of cookies. stream Every 2-connected \(P_7\)-free graph of minimum degree at least three other than the Petersen graph has a spanning Eulerian subgraph. << /Rotate 0 Eulerian Cycle: An undirected graph has Eulerian cycle if following two conditions are true. /ProcSet [/PDF /Text /ImageB] I'm really glad that I put in all the effort to do the things that I did to get on here. I feel like I'm good with it. Start a path at any node of the graph by leaving through one of its two edges. At the next node on the other end of that edge we find another edge It would have been a week. Webis petersen graph eulerian. WebEuler's Planar Formula Proof Idea : Add edges one by one, so that in each step, the subgraph is always connected Show that the Petersen graph is non-planar. 7 What is string in combinatorics and graph theory? The Petersen graph has a Hamiltonian path but no Hamiltonian cycle. (See below.) (A2A) I'm not familiar with this subject, but I looked up "neighborhood graph" and it referred me to Lovasz's paper "Kneser's Conjecture, Chromatic ), A graph \(\textbf{G}= (V,E)\) is said to be hamiltonian if there exists a sequence \((x_1,x_2,,x_n)\) so that. /Rotate 0 Gameplay itself is interesting. /Thumb 115 0 R Click Individual. /MediaBox [0 0 416 641] WebAn Euler circuit in a graph is a circuit which includes each edge exactly once. 556 584 333 737 552 400 549 333 333 333 /Thumb 190 0 R In fact, we can find it in O(V+E) time. Therefore, if the graph is not connected (or not strongly connected, for /Parent 5 0 R endobj H|UR0zLw(/&c__I)62DIeuv 0c|L8Zh(F?qd =@y m* lb>9TRQ >y l@ @`hb("#hC`6j1d7uQT lS02|7bn[&QvaT2f!wCF}\M.>6lV~:FRgqpw 0O/&EZ >> /Parent 7 0 R Yes. I'm not trying to kick an old lady's ass on national TV. Each object in a graph is called a node. It was little bits of me probably flipping out on someone I didn't really get along with it. If \(j \geq 0\), set, \(N_j = \{y: u_jy\) is an edge in G and has not yet been traversed.\(\}\), If \(N_j \neq \0 \), we take \(u_{j+1}\) as the least positive integer in \(N_j\). No! /Parent 2 0 R Problem 3 Show that Petersen graph is not Hamil-tonian. >> endobj 12 0 obj /Rotate 0 /MediaBox [0 0 416 641] /Count 5 Definition: Graph is a mathematical representation of a network and it describes the relationship between lines and points. /ProcSet [/PDF /Text /ImageB] Prove that the Petersen graph does not have a Hamilton cycle. Bipartite, Eulerian, and Hamiltonian Bipartite: A bipartition of a graph G is a pair (A;B) of disjoint subsets of V(G) with A [ B = V(G) so that every edge has one end in A and one end in B. You have to make decisions. Introducing PEOPLE's Products Worth the Hype. Someone's about to get it! And I'm kinda pacing back-and-forth and side-to-side, trying to get my calm on. He quickly needs to throw away the evidences. /Parent 5 0 R /Type /Font /Parent 2 0 R I don't like her and she's mean to everybody, but that's not me at all. /Type /Font /MediaBox [0 0 418 643] More props to him. What is the impact of clock in our society? We also acknowledge previous National Science Foundation support under grant numbers 1246120, 1525057, and 1413739. /Parent 5 0 R However, this implies that, \(C = (x_1,x_2,x_3,,x_i,x_t,x_{t-1},x_{t-2},,x_{i+1})\). (b) Explain why there is no Eulerian circuit of the Petersen graph, and state the minimum number of edges you would need to add to the Petersen graph in order for there to be an Eulerian circuit. Without Jeff Probst coming out on the beach, etc? /Resources << Unlike the situation with eulerian circuits, there is no known method for quickly determining whether a graph is hamiltonian. endobj 34 0 obj Euler's formula ( v e + f = 2) holds for all connected planar graphs. You know how you meet someone and you just dont like them? HitFix: I guess my first question is what was it like watching the episode last night and what were you telling yourself on the screen? If I do this, this is probably gonna be the repercussions. And I'm really glad they didn't show everything. /Resources << I thought he couldnt count to 20 with his shoes on, but hes the head of the snake. c) Is Petersen /Thumb 75 0 R WebBefore proceeding to Euler's elegant characterization of eulerian graphs, let's use SageMath to generate some graphs that are and are not eulerian. I told him, I don't feel comfortable with this. Hamilton circuit: a circuit over a graph that visits each vertex/node of a graph exactly once. /Contents [56 0 R 57 0 R 58 0 R 59 0 R 60 0 R 61 0 R 62 0 R 63 0 R] (1.5) Let G be a cubic 2-edge-connected graph not containing the Petersen graph. I was getting pumped up. Lindsey: I don't think that had anything to with it at all. >> How did you react when it was happening?My hands started shaking. Lindsey: Absolutely not. You could just kinda tell by the energy of what was going on: There's gonna be some mix-ups, there's gonna be some twists, there's gonna be some turns. /Type /Page >> /Resources << /Parent 7 0 R So for Petersen, 10 15 + F = 2 and so F = 7. Fortunately, we can find whether a given graph has a Eulerian Path or not in polynomial time. The key to performance in a DBMS is to reduce the number of disk reads, and that is accomplished by increasing the number of positive hits on the c How combinatory and graph theory are related each other? >> /Parent 5 0 R Returning to camp after losing her closest ally, NBA star Cliff Robinson, Ogle got into a heated argument with fellow castaway Trish Hegarty. 24 0 obj /Rotate 0 3 How combinatory and graph theory are related each other? HitFix: Sure. >> /Name /F0 for each \(i = 1,2,,n-1,x_ix_{i+1}\) is an edge in \(\textbf{G}\). But I think that Trish had a little camera courage and I was trying to dig it, but I still think that I was a little bit in shock with Cliff. WebAmong the six incarnations of the Petersen graph, the middle one in the bottom row exhibits just 2 crossings, fewer than any other in the collection. 6 What is the definition of graph according to graph theory? >> At what point is the marginal product maximum? Lindsey and Sarah at Aparri camp. HitFix: OK, so you're pacing back and forth. 127 0 R 128 0 R 129 0 R 130 0 R 131 0 R 132 0 R 133 0 R 134 0 R 135 0 R] /Contents [170 0 R 171 0 R 172 0 R 173 0 R 174 0 R 175 0 R 176 0 R 177 0 R 178 0 R 179 0 R The two other characters are detectives who are trying to unravel the mystery of the murder which was committed by our main guy! /Parent 7 0 R Furthermore, each edge incident with \(x\) either exits from \(x\) or enters \(x\). >> WebThe Petersen graph is an undirected . /XObject 86 0 R . 1. a 16 The following graph is called Petersen graph, it is named after Danish mathematician Julius Petersen. Keep loving, keep shining, keep laughing. What is the size of the largest clique in the Petersen graph? /Type /Page We use cookies to help provide and enhance our service and tailor content and ads. In this paper, we prove that any 3-edge-connected graph with at most 11 edge-cuts of size 3 is supereulerian if and only if it cannot be contractible to the Petersen graph. I was worried that I would get into a physical confrontation with her, says Ogle, 29. Webnon-Hamiltonian cubic generalized Petersen graphs other than those found by Robertson. /Parent 7 0 R /im11 305 0 R >> /Length 629 >> Know what I mean? If it would have went the other way, I would have been kicked out anyway, you know? Lindsey Ogle NP-C is a female family nurse practitioner in Chicago, IL. >> /Rotate 0 Quantic Dream really made a great effort but unfortunately did not avoid some flaws, but more on that later. /ProcSet [/PDF /Text /ImageB] So I have watched ungodly amounts of Survivor in the past year. /MediaBox [0 0 417 642] And a lot of people are like, You're blaming it on your daughter. Lindsey Ogle is a resident of DE. /ProcSet [/PDF /Text /ImageB] The Petersen graph, labeled. Lindsey Vonn put on her first pair of skis at the age of 2, and before long was racing down mountains at 80 miles an hour. Zapisz moje dane, adres e-mail i witryn w przegldarce aby wypeni dane podczas pisania kolejnych komentarzy. Lindsey: No! Does putting water in a smoothie count as water intake? With the Brawny tribe, the personalities are strong. This website uses cookies to improve your experience while you navigate through the website. /F0 28 0 R /Rotate 0 endobj The degree of every vertex must be even, since for each vertex \(x\), the number of edges exiting \(x\) equals the number of edges entering \(x\). % /MediaBox [0 0 415 641] I understand that. /Filter /FlateDecode 778 778 778 778 584 778 722 722 722 722 We were getting fewer and fewer. endobj Kuratowski's Theorem /Thumb 168 0 R You can already see that the plot is good. 26 0 obj I appreciate your support. Inspiration in Life: Martin Luther King Jr., in a time of struggle he pushed through without violence.A positive movement and true leader. /Contents [66 0 R 67 0 R 68 0 R 69 0 R 70 0 R 71 0 R 72 0 R 73 0 R 74 0 R] The bipartite double graph of the Petersen graph is the Desargues graph.Petersen Graph. Are you trying to quit smoking? << /Rotate 0 Coyote Ugly Turns 20: Where Is the Cast Now? If it seems to be running a log time, it may be that you have made the number of edges too small, so try increasing it a bit. Clearly all neighbors of both \(x_1\) and \(x_t\) appear on this path. Like, duh. I like him a lot. /Type /Pages We can use these properties to find whether a graph is Eulerian or not. Now the endobj A lot of people who see me in my everyday life tell me they cant believe I walked away. Before proceeding to Euler's elegant characterization of eulerian graphs, let's use SageMath to generate some graphs that are and are not eulerian. I'm paceing back and forth and I'm just going through these things like, OK. /XObject 253 0 R >> 213 0 R 214 0 R 215 0 R 216 0 R 217 0 R 218 0 R 219 0 R 220 0 R 221 0 R 222 0 R] Inspiration in Life: Martin Luther King Jr., in a time of struggle he pushed through without violence. /Parent 6 0 R Lindsey Ogle. /Rotate 0 << Stop talking to me. But I think that she got a little camera courage. Search the world's information, including webpages, images, videos and more. endobj Euler(ian) circuit, Euler(ian) path (n.): An Euler path (a.k.a. endobj It is not hamiltonian. Important: Use the initial matching (a,4); (c,6); (e,2); (h,5) . vertices with zero degree) are not considered to have Eulerian circuits. /Parent 5 0 R I compare it to when a kid is beaten up on a playground, and theres a nerdy one who comes up and kicks sand in his face. It will execute until it finds a graph \(\textbf{G}\) that is eulerian. Using your notation, we have that $n=10$, $m=15$. Inspecting the graph, we see that (1) each edge is included in exactly two faces, and (2) each c endobj 148 0 R 149 0 R 150 0 R 151 0 R 152 0 R 153 0 R 154 0 R 155 0 R 156 0 R 157 0 R] His methods involve working directly with G (n, k) and interchanging 667 667 611 556 556 556 556 556 556 889 Twj adres e-mail nie zostanie opublikowany. I'm kidding! Survivor's Lindsey: "It Would Not Have Been Safe" for Trish If I Hadn't Quit. /Contents [225 0 R 226 0 R 227 0 R 228 0 R 229 0 R 230 0 R 231 0 R 232 0 R] endobj You also have the option to opt-out of these cookies. When \(\textbf{G}\) is eulerian, a sequence satisfying these three conditions is called an eulerian circuit. << /F0 28 0 R Eulers equation relating the number of vertices [math]V[/math], edges [math]E[/math] and faces [math]F[/math] of a connected planar graph is [math << A WebShow that the Petersen graph is a minor of the graph from Midterm Practice Problem P2. In this paper we show that a bridgeless graph without 2-valent vertices has a spanning eulerian subgraph without isolated vertices. Google has many special features to help you find exactly what you're looking for. 7 0 obj Court Records found View. /CropBox [0 0 415 641] /CropBox [0 2.16 414.39999 643] /Kids [8 0 R 9 0 R 10 0 R 11 0 R 12 0 R 13 0 R 14 0 R 15 0 R 16 0 R 17 0 R] A graph \(\textbf{G}\) is eulerian if and only if it is connected and every vertex has even degree. /LastChar 255 /F0 28 0 R The cookie is set by the GDPR Cookie Consent plugin and is used to store whether or not user has consented to the use of cookies. Hes not playing a particularly smart game (a few errors tonight highlight that) but he is playing a very entertaining game. 28 0 obj /Annots [44 0 R] Note that a graph with no edges is considered Eulerian because there are no edges to traverse. 778 722 667 611 722 667 944 667 667 611 /Rotate 0 /Type /Pages /Kids [18 0 R 19 0 R 20 0 R 21 0 R 22 0 R] WebAn Eulerian trail is a path that visits every edge in a graph exactly once. Theorem 3.1 (Euler) A connected graph G is an Euler graph if and only if all vertices of G are of even degree. >> 750 750 750 750 222 222 333 333 350 556 Finding an Euler path There are several ways to find an Euler path in a given graph. /F0 28 0 R 31 0 obj Use the Hungarian algorithm to solve problem 7.2.2. WebThe Petersen graph is an obstruction to many properties in graph theory, and often is, or is conjectured to be, the only obstruction. /Contents [203 0 R 204 0 R 205 0 R 206 0 R 207 0 R 208 0 R 209 0 R 210 0 R 211 0 R 212 0 R Webhas a closed Eulerian trail in which e and f appear consequently? I needed a moment, and she wouldnt give it to me. I'm not gonna say, 'I'm so hungry and I'm chilly.' 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Kong, Cruella, And More Spring Blockbusters We Cant Wait To Watch. << A-143, 9th Floor, Sovereign Corporate Tower, We use cookies to ensure you have the best browsing experience on our website. Chapter 5 Eulerian Graphs and Digraphs. The problem seems similar to Hamiltonian Path mdy) Woo is a ninja hippie, but I never really had a good read on where he was strategically. /CropBox [1.44 0 416 641] 1: Euler Path Example. Petersen Graph Subgraph homeomorphic to K 3,3 32 . What if a graph is not connected? We also use third-party cookies that help us analyze and understand how you use this website. How to find whether a given graph is Eulerian or not? >> >> Lets see who winshaha. [She sighs.] There's a lot with that that I have my own thoughts on. You control three characters. The LibreTexts libraries arePowered by NICE CXone Expertand are supported by the Department of Education Open Textbook Pilot Project, the UC Davis Office of the Provost, the UC Davis Library, the California State University Affordable Learning Solutions Program, and Merlot. What is the chromatic number of the given graph? 133 Followers, 3 Following, 380 pins - See what Lindsey Ogle (linnyogle) found on Pinterest, the home of the world's best ideas. She got right in my face and started rubbing my face in it. J'Tia Taylor And you totally quit! And let me tell you, for the record, never would I have ever quit if it was just solely on me. When the subroutine halts, we consider two cases. Combinatorics is related to graph theory in it can be used to predict how long it will take to cover a entire graph. /Thumb 85 0 R 8 Prove that the Petersen graph (below) is not planar. Like, are you kidding me? Know what I mean? So Im proud of the decision I made. 556 556 556 333 500 278 556 500 722 500 Everyone but Trish. (a) Find a graph E which has an Eulerian circuit but no Hamilton cycle. More Survivor: Cagayan exit interviews: She also discusses her post-Survivor plans. endstream << The cookie is used to store the user consent for the cookies in the category "Analytics". Monty Brinton/CBS. /Contents [33 0 R 34 0 R 35 0 R 36 0 R 37 0 R 38 0 R 39 0 R 40 0 R 41 0 R 42 0 R] /Resources << /F0 28 0 R It's different to see it when you've just eaten a whole bowl of pasta and you're like, I can't believe that. Like, I'm gonna stay on my pillow in my warm bed and think about what a wimp this girl is. You get perceived as this one thing on TV, but you're really something else. That's my whole plan. /ProcSet [/PDF /Text /ImageB] [BvZmOf7?@)`FxZy]+CK&c$l3s~Me+{SH Qaq|%x9'BLn$R)w!`T\xv_x.YS2v LzN1L bzK,~%PsNq%p7Y^uRB2u g^Yy", :{]lw, X4]F95[xaR^zrtu(Ly1h) oTtfuSU7wAuUL&~fFu,wZ o-3-TZ 2'*pqZgNYo6R[|$y+U1NF Eulers interaction with graph theory was his solution of the Bridges of Knigsberg problem, which is about traversing a graph by visiting each edge once. What do you mean by chromatic number and chromatic polynomial of a graph? << /F0 28 0 R /Contents [160 0 R 161 0 R 162 0 R 163 0 R 164 0 R 165 0 R 166 0 R 167 0 R] >> I probably look like a psychopath, like Brandon Hantzing out all over everybody. /Thumb 158 0 R << Because I didn't win the million dollars, I've made it a point that I want to do some stuff around my community to empower women and to encourage them to be outside and to exercise and to push themselves. In particular the generalized Petersen graphs, P(n, 2), are globally 3*-connected if and only if n 1, 3 (mod 6). /Subtype /Type1 /F0 28 0 R The cookie is used to store the user consent for the cookies in the category "Other. But I had to take it and learn some lessons from it. /Type /Page /Rotate 0 /BaseFont /Helvetica-Bold << Lawsuits, Liens or Bankruptcies found on Lindsey's Background Report Criminal or Civil Court records found on Lindsey's Family, Friends, Neighbors, or Classmates View Details. Picture of the Petersen graph The drawing in pdf format. 2,628 likes. WebTheorem 1.8.1: (Euler Formula) For a connected planar graph G = (V, E) with n vertices, m edges and f faces, n - m + f = 2. It was a tiebreaker [in the Reward]. /Font << Proof that no Eulerian Tour exists for graph with even number of vertices and odd number of edges 5 Prove that, if G is a bipartite graph with an odd number of vertices, then G is non-Hamiltonian Or was it just getting away from them? We won that one, too. Such is the case A graph is Eulerian if every vertex has even degree. The Petersen Graph. << We launch our algorithm with a trivial circuit \(C\) consisting of the vertex \(x_0=(1)\). She's just not my cup of tea and I'm not hers. /ProcSet [/PDF /Text /ImageB] All the people who are like, Lindsey, I cannot believe that you did not punch her teeth out And I'm like, You know. If \(\textbf{G}\) is a graph on \(n\) vertices and each vertex in \(\textbf{G}\) has at least \(\frac{n}{2}\) neighbors, then \(\textbf{G}\) is hamiltonian. << /CropBox [0 1.44 414.84 642] /MediaBox [0 0 417 642] /Parent 5 0 R I was a mom who didnt eat or drink for Out of the 424 contestants to ever play the game, only 10 have officially walked away, and usually because they are physically sick or exhausted. >> It would have been like playing against the Little Rascals with Cliff. /XObject 45 0 R I think that if anybody had the opportunity that I do, if you didn't win, at least use it for good. 18 0 obj In graph theory, a string graph is an intersection graph of curves in the plane; each curve is called a string. Webgraph has components K1;K2;::: ;Kr. /Font << Let \(\textbf{G}\) be a graph without isolated vertices. If you are finding it hard to stop smoking, QuitNow! Select from premium Lindsey Ogle of the highest quality. Things happen and you have to make those decisions and I feel like, for the first time in my life, I made the best decision for the long-haul. Sched.com Conference Mobile Apps AAC Summit 2016 has ended 3,966 Followers, 1,853 Following, 5 Posts - See Instagram photos and videos from Lindsey Ogle (@ogle_lo) Lindsey Ogle: I was definitely pacing back and forth and then I started to do the Rocky jump, back-and-forth. /S /GoTo I was just thinking, I am gonna punch her in the throat! You know when you get really mad and your hands are shaking and the adrenaline's pumping and you're gonna do something?

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