Show that the graph is 2-colorable by finding a 2-coloring. If the graph is not 2-colorable, explain why. Blue Blue Green Green Green Green Blue Green Blue Blue Blue Blue Green Green Green Green Blue Blue

Q: Show that the graph is 2-colorable by finding a 2-coloring. If the graph is not 2-colorable, explain…

A:

Q: OThis graph does not have an Euler Circuit OThis graph has an Euler Circuit

A:

Q: in a graph What is the vertex coloring? And give an examples

A:

Q: Consider the following graph: Provide a topological ordering of the vertices in this graph if there…

A:

Q: Can a graph have 17 vertices where every vertex has either degree 1 or degree 3 or degree 5? Yes or…

A: Given  A graph with17 vertices  we have to prove that can a graph have 17 vertices where every…

Q: • Draw the complement graph G Is G a bipartite graph? Why? Compute w(G), a(G)

A: This is a problem of Graph Theory.

Q: Are the following graphs connected? If a graph is not connected, explain why it is not. II

A:

Q: in a graph :is K-chromatic? give an examples

A: Please see the attachment

Q: Please draw a graph that is a proper subgraph of the following graph (by "proper subgraph", I mean…

A:

Q: in fuzzy graph theory What is the transitive And give examples

A:

Q: Define the complement of a graph, and find it to the graph P_5.

A: We need to define the complement of graph and find it to the graph P5( path of order 5)

Q: For the graph shown below, find a 2-coloring of the vertices or explain why a 2-coloring is…

A: Let us name the vertices in the given graph: A 2-coloring graph means we can color the vertices of…

Q: Explain what it means to color a graph, and state and prove the six color theorem.

A:

Q: d. Add up all the indegrees, and add up all the outdegrees. What do you notice? Can you explain why…

A:

Q: What would be the most appropriate qualification of the following graph? It is a directed…

A: 1. Given graph is We observe that there are multiple arcs with same source and destination in the…

Q: Give an example of a graph with an infinite number of vertices and an infinite number of edges that…

A: A graph consisting of infinite number of vertices and edges is called as an infinite graph.

Q: 13. Determine whether the following graph is strongly connected. b.

A:

Q: hich graph appears to contain all the orderad pairs in this rolation?

A:

Q: Determine if the following pairs of simple graphs are isomorphic. If they are, label the graph on…

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

Q: Which graph has a matching?

A: We use definition of matching.

Q: in a graph What is vertex coloring and upper bounds ? And give examples

A: To find what is vertex coloring and upper bound .

Q: what is K-connected of a graph ? And give an example

A: Definition: A graph is said to be K- connected graph or K edge connected graph if after removed less…

Q: what is a complete fuzzy graph And give examples

A:

Q: If a graph has 8 vertices, then what is its order? Answer:

A: We have given a graph which has 8 vertices. We know that  Order of a graph is cardinality of…

Q: For

A: We use given hint.

Q: Which of the following statements about a connected graph is always TRUE?         A path of…

A: Solution: From the definition of the connected graph there should be path between any two pair of…

Q: The ff. graph is planar:

A:

Q: The given graph below is strongly connected b. Select one: True False

A: Strongly connected graph

Q: (b) Determine the edge connectivity and the vertex connectivity of each graph.

A: (b) Given,

Q: For the graph shown below, find a 2-coloring of the vertices or explain why a 2-coloring is…

A: Given:

Q: Identify whether the following graph is Eulerian or Hamiltonian. And Why ?

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: B: Fined the dual graph for Jollowing graphs the

A: Given

Q: Label the vertices of the second graph so that it is equivalent to the first graph.

A: Given graphs are,

Q: Let G be a graph with vertex set VG and edge set EG. Let V C VG and EC EG. Is there always a…

A: Consider the given information.

Q: (b) Show that if a 2-colorable graph G has exactly two 2-colorings, then any two cycles contained in…

A: Given: Demonstrate that if a 2-colorable graph G has exactly two 2-colorings, then any two cycles in…

Q: The given graph is strongly connected. b True or False True False

A:

Q: Are the ff. two graphs isomorphic? 一 一 一 1. 1. 1. 1. -

A: To find Are the ff. Two graphs isomorphic.

Q: How many edges does a complete graph K„ have? Prove / explain your answer.

A: The complete graph Kn is a graph with n vertices such that every there is exactly one edge between…

Q: Draw all subgraphs of this graph

A: Given: There are 3 vertices, hence there will be 23=8 sub graphs Graph nodes: Nodes is defined as…

Q: A В

A: a) The above graph contains the circuits such as A B-G-F-A with four vertices and A-B-H-F-A with…

Q: Write an example of three graphs (each with 4 vertices), two of them are isomorphic and two are…

A:

Q: Determine if the following pair of graphs are isomorphic. If so, give the vertex pairings; if not,…

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

Q: . Determine if the following graphs are isomorphic or not? If yes, show how are they isomorphic. If…

A:

Q: An undirected graph is called complete if every vertex shares an edge with every other vertex. a.…

A:

Q: Is it possible for a graph with 6 vertices to have degrees 2, 2, 2, 3, 5, and 9? (Loops are…

A: We know that numbers of vertices of odd degree in any graph is always even. We use this fact in step…

Q: What is the vertex chromatic number and edge chromatic number of the graph given below

A: This is a problem of Grapg Theory.

Q: What is the minimum number of colors you need to color the vertices of this graph such that if two…

A:

Q: Represent the map by a graph and then find a coloring of the graph that uses the least possible…

A: answer is in next step. please give a like !!

Q: Find the union of the given pair of simple graphs.

A: Concept Used:- Union of two simple graphs G1 =(V1 ,E1 ) and G2 =(V2 ,E2 )  is a simple graph with…

Q: in a graph What is K-edge connected And give an example

A: A graph, is said to be k-edge connected if even after removing k-1 edges the graph is still…