QUESTION 44 points Save AnswerSuppose you are told that G2 = (V,E).The edges are undirected. The degree sequence is 1,3,5,5,5.Apply at least one relevant theorem that can show that either: G2 might be a graph or G3 is definitely not a graph. If it might be a graph, what would be |E|? If it is not a graph, explain why,using a theorem.For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac).Ev A VBIUS Paragraph V Arial10ptTरु तेABCX² X₂>¶ST எT<VΠ 19 Ω由用因K₂<> 0 O Ⓒ0 WORDS POWERED BY TINY由用国P+✓XQ田田X

Answered: Image /qna-images/answer/d54fc546-29d5-4bd4-84d0-bffabe2a84dd.jpg

Answered: QUESTION 4 Suppose you are told that G2…

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter1: Equations And Graphs

Section1.2: Graphs Of Equations In Two Variables; Circles

Problem 5E

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it is Algorthms and graphs Theory question.(2.8 (ii)) Draw a graph on six vertices with degree sequence (2, 3,3,4,5, 5) does there exist a simple graph with these degree
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1 question 2 parts to it. Please help with both parts. and then a graph is requested as a 3rd part.
You are given two sequences of non-negative integers below. Decide whichsequences below represent the degree sequence of some simple graph. (a) Is s = 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 the degree sequence of some simple graph G? YES or NO (circle one)If your answer is YES then draw G. If your answer is NO then prove that s cannot be the degree se-quence of any graph.(b) Is s = 5, 4, 3, 2, 1 the degree sequence of some simple graph G? YES or NO (circle one)If your answer is YES then draw G. If your answer is NO then prove that s cannot be the degree se-quence of any graph.
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PLEASEE DO THE GRAPH ON THE PAPER I HAVE GIVEN DO IT ON THAT PLEASEE AND PLEASEE SHOW WORK ON A PAPER HANDWRITTEN AND PLEASE WRITE CLEARLY SO I CAN UNDERSTAND RHE HANDWRITING AND PLEASEE DO THIS FASTT
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A city is built on the banks of a river and some islands in the river. The map below shows the bridges connecting the various land masses. Draw a graph that models the connecting relationships in the map below. The vertices represent the land masses and the edges represent bridges connecting them. Island CC is little more than a sandbar and is uninhabited. Is it possible to find a circuit through the city that uses each bridge once? If so, enter the sequence of land masses(vertices) visited, for example ABDEA. If it is not possible, enter DNE. image attached
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Question 10 options: We now construct a graph G on 8 vertices as follows. Let B = {0000, 0001, …, 1111} be the set of bit-strings of length 4. There are exactly 16 such bit-strings. Vertices: We say a bit-string is sorted if the four bits in the bit-string occur in increasing order or in decreasing order. E.g. the three bit-strings 0011, 0000, and 1110 are sorted, and the two bit-strings 1001 and 1101 are not sorted. Exactly 8 of the 16 bit-strings in B are sorted. Let the vertex set V be comprised of the 8 bit-strings in B that are sorted. Edges: We include the edge (u,v) in E between the two bit-strings u and v if u and v differ in exactly one position. That is, if three of the four bits in u and v are the same, and one bit differ. How many edges does G contain? (The answer is an integer)

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QUESTION 4 Suppose you are told that G2 = (V,E). The edges are undirected. The degree sequence is 1,3,5,5,5. Apply at least one relevant theorem that can show that either: G2 might be a graph or G3 is definitely not a using a theorem.