3. Indicate all the possible clique and maximal clique for the following graph. QA E D

Q: How many distinct unlabeled simple graphs on five nodes with equal to or less than five edges? 0 12…

A: The given question is related with graph theory. Here we have to find the number of distinct…

Q: Based on K1, K2, and K3, which graphs are not simple graphs? b a b. к, у K2 Y K3 Y K, and K2 a b K2…

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Q: (10 O Draw the following graphs: g) P4 h) C3 i) C4 d) K4,3 a) Ky 67 kg c) kG ļ) K3,3

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: 2. Show that the following graph is not planar. USM 1999 083 IVERS

A: Given- To show that the given graph is not planar.

Q: 7. Which of the following graph is the correct illustration of the notation P(Z b)? А. В. С. D.

A: Z be the standard normal variates  Then the notation :p(z<a)u p(z>b) ?

Q: to all other vertices in the graph given below. 12 7 B F 1 (A E 3 3 D 10

A: We use Dijkstra's algorithm to determine paths of minimum weight of joining vertex A to all other…

Q: Q Final the complement of she graphs in fig-t-34 figti3l

A: A complement of a graph G is a graph G that has all the vertices of graph G and G has edge between…

Q: Work out the adjacency list for the following graph. 1 2 3 5

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Q: 6. List the ordered pairs in the relation represented by the following directed graph: 2 4 3

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Q: For a complete graph, match the number of Hamilton circuits for a given vertices. n = 3 [ Choose ]…

A: For a complete graph, We have to match the number of Hamiltonian circuits or a given vertices. The…

Q: For a complete graph, match the number of Hamilton circuits for a given vertices. n = 3 n = 4 6 n =…

A: Hamilton Circuit : A circuit that must pass through each vertex of a graph once and only once. Being…

Q: 18. How many edges has each of the path graph P158? A. 155 B. 156 C. 157 D. 158

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Q: b a d

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Q: Draw the acquaintanceship graph that represents thatTom and Patricia, Tom and Hope, Tom and Sandy,…

A: Acquaintanceship graph: It is a model used to represent the relationship among people. We use a…

Q: Select any of the following points that are on the graph of y = 3-2 %3D O (1, 6) O(-1, 1.5) O (3,…

A: Given: the graph of y=3·2x

Q: Show, by drawing, that the following graphs are planar: the wheel W5;

A: The graph of W5 is in next step

Q: Find a Hamilton circuit for each graph below. Graphs b K1 d K2 K3 • Hamilton circuit for K¡: •…

A: A Hamiltonian circuit for a graph is a circuit that visits each vertex only once and starts and…

Q: The number of simple directed graphs with 3 labeled vertices and having exactly 3 edges is Select…

A: Sol

Q: 1. Determine and discuss which of the following graphs are connected or disconnected. a) 13 O 15 x6…

A: There is no such introduction for the solution.I have explained it within the solution.Please go…

Q: 14. For each of the following figures, find V+F- E, where V, E, and F stand, respectively, for the…

A:

Q: Q. Rrove 8 the Sum of valancies of vertices of . a graph Vo is bwice Ahe number of elges

A: Sum of valencies of every vertex means sum of degree of every vertex. Degree of a vertex represents…

Q: For a given graph G having n vertices and e edges which is connected and has no cycles, which of the…

A: Answer : (A)  Hence,   n = e + 1 is the true statement.

Q: 8. Which one of the following statements is NOT true about this graph? F D Figure 1 O A) There is a…

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Q: 6. Which of the following pairs of graphs are is (а) (b) 5 3

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Q: 8. Which one of the following statements is NOT true about this graph? B E F Figure 1 OA) There is a…

A: Definition: This is a circuit because a path which ends at the vertex it begins. Given graph is…

Q: Consider the following pairs: (1,2), (2,-2), (3,1), (-2,1), (-3,-2), (1,1) Nhich of these pairs is…

A: Answer and explanation is given below...

Q: 5. The number of edges in a regular graph of degree 46 and 8 vertices is a) 347 b) 230 c) 184 d) 18

A: Lets find number of edges.

Q: Compute the following combinations. a) (4). (3500) b) (3499)* State the answer using combinations.…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: 3. How many vertices and how many edges do each of the following graphs have? | a) K4 a. C. c) W.

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Q: How many vertices will the following graphs have, if they contain: (a) 18 edges and all vertices of…

A: According to the rule I only do the first three

Q: Shiw that the following graph contracts to K5

A: Given

Q: In a connected planar graph drawn with no intersecting edges, if there are 3 vertices and 8 edges,…

A: We can use the Eulers formula for the planar graph to find the number of faces.

Q: For which values of n ≥ 0 are the following graphs bipartite? a) Cn b) Wn c) Kn d) Qn

A: A bipartite graph is a graph whose vertices can be divided into two disjoint and independent sets U…

Q: (b) A planar graph has 10 edges and its dual graph has j edges, for some integer j. What is this j?…

A: Use the properties of planar graph and their dual graphs. Use the relation between the number of…

Q: Represent the following with a graph. MT ID WY NV UT có AZ NM

A: The representation of the graph is

Q: 1) Sketch the graph and test the symmetry of the following : r =10

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Q: OD

A: Remark: A path in a graph is a sequence of vertices with the property that each vertex in the…

Q: The number of non-isomorphic simple graphs on 8 vertices, all of which have degree 2, is Select one:…

A:

Q: Graphs b. K1 K2 K3 Hamilton circuit for K: Hamilton circuit for K2: Hamilton circuit for K3: ..

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Q: Answer T if the graph or tree exists as described and F if it does not. 1. Connected graph with 9…

A: # we are entitled to solve one question at a time, please resubmit the other questions if you wish…

Q: 3. Find the degree of the vertices of the following graphs and verify the handshaking theorem.

A: Degree of a vertex is the number of edges incident on it.

Q: ii) For which values of r, s and tis the complete tripartite graph Kst planar?

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Q: Draw these graphs. a)       K1,4 b)       W4

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Q: For which values of n does the graph Wn have an Euler circui

A: In the given question we have to find the value of n for which the graph Wn have an Euler circuit.…

Q: List all reduced subgraphs with 4 vertices for the following graph. e2 €3 e6 €4 e5 d e7

A: A graph H is called a sub-graph of G if, VH⊂VG EH⊂EG IH is the restriction of IG to EH

Q: Determine which of the graphs below have Euler circuits. Vo Vg VI 3 m (US S 5 e6 4 33 V3 Ug (US 27…

A: Euler circuit: An Euler circuit starts & end at same Vertex Here in the given problem we have to…

Q: Consider the following sets V = {vo, V1, V2, V3, V4} and a set of vertices A simple graph can be…

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Q: 2. For the given graph, the sum of degrees of all vertices is b h d A) 20 В) 18 C) 16 D) 10

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Q: Q: a) find the Cen C@) dor the Jollowing graph Vo

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Q: Which of the following graphs are not trees? M'VA b d

A: