MCS101 MCS102 MCS100 MCS110 MCS135 MCS120 MCS130

Q: A simple graph is called regular if every vertex of this graph has the same degree. How many…

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Q: er a 4-regular undirected graph that has 5 vertices. How many edges are ther

A: In this question, the number of edges is to be calculated when a 4-regular undirected graph has 5…

Q: How many vertices do the following graphs have if they contains a) 16 edges and all vertices of…

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Q: In a simple graph there can two edges connecting two vertices. True O False

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Q: Suppose the city of Königsberg had the arrangement of islands and bridges pictured on the left…

A: Given map is

Q: Suppose G is a simple graph (no loops; no parallel edges) with n = 14 vertices and m = 7 edges. What…

A: GIVEN  vertices n=14 edges m=7 EXPLANATION as we know  every graph has atleast n-m component…

Q: What is the smallest number of colors you need to properly color the vertices of K3.3 ? That is,…

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Q: A simple graph with 3 vertices

A: Now,  we have to  draw a  simple graph , with 3 vertices: The above shown is an example of a simple…

Q: For the graph with 4 nodes, 6 edges, and 3 loops, add a new node. If you connect it to one old node,…

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Q: Consider the floor plan below that has five rooms and twelve doors. a. Represent this as a graph…

A: The doorways of the graph represent the edges of the graph and the rooms and outside are the…

Q: n47- AdjacencyGraph [bigGraph, VertexLabels - "Name" ) Ou= G17. Is the graph above a connected…

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Q: Draw a simple graph with 2 vertices.

A: Solution:To draw a graph with 2 vertices

Q: d. A graph with four vertices and six edges which is not simple (explain why it's not simple).

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Q: draw the graph or explain why the graph cannot exist: (a) A simple graph on 5 vertices with 12…

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Q: Below, graph always refers to an undirected graph; directed graphs are called digraphs. 1. By…

A: Note that in an undirected graph G, a proper coloring of vertices is one in which no two adjacent…

Q: For the graph on the right, a. Determine if the graph must have Hamilton circuits. b. If the graph…

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Q: a simple disconnected graph with 3 vertices.

A: This is an example of simple disconnected graph with three vertices.

Q: If G1 is a simple graph with 20 edges and G has 25 edges, how many vertices does G1 have?

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Q: Does there exist a simple connected graph with vertices of the following degrees? If so, draw the…

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Q: Determine (a) the number of edges in the graph, (b) the number of vertices in the graph, (c) the…

A: Given the graph

Q: b) A complete graph has 190 edges. How many vertices does the graph contain?

A: Complete graph: A complete graph is a fundamental undirected graph in which every pair of separate…

Q: Draw a graph that represents this information where each vertex represents a student and an edge…

A: In the graph the vertex represents student and edge indicates two students study together.

Q: For the graph on the right, a. Determine if the graph must have Hamilton circuits. b. If the graph…

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Q: 5. A department wants to schedule final exams so that no student has more than one exam on any given…

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Q: Draw the following: a. K3 b. a 2-regular simple graph c. simple graph with ν = 5 & ε = 3

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: draw the folowing: a.k3 b.a 2-regular simple graph c.simple graph with v=5&e=3 d.simple…

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Q: 11. A department wants to schedule final exams so that no student has more than one exam on any…

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Q: Draw the following: a. K3 b. a 2-regular simple graph c. simple graph with p = 5 & q = 3

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

Q: The graph with 5 vertices and four edges is always connected. TRUE OR FALSE

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Q: Draw the following: K3           a 2-regular simple graph             simple graph with ν…

A: You have asked multiple questions. As per our guidelines we can answer only first three questions.…

Q: For the graph on the right, a. Determine if the graph must have Hamilton circuits. b. If the graph…

A: The number of Hamilton circuits of a graph are 12n-1! Where n is the number of vertices.

Q: At the end of the party with n people, everybody knows everybody else. Draw the graph representing…

A: Here, number of people are n. So, the number of nodes in the graph will be n.

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

A: Given graphs are,

Q: (6) Check whether it is possible to draw a connected regular graph with odd number of edges and…

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Q: For the graph on the right, a. Determine if the graph must have Hamilton circuits. b. If the graph…

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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: A simple graph with 2 vertices

A: To draw: A simple graph with two vertices. Graph: The graph having two vertices is shown below:

Q: In a complete graph, if number of edges are 10, then the graph is: K2 K5 Kg K10 A Moving to another…

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Q: How many edges will you have in a complete graph made of 40 vertices? Show all steps of your…

A: We have to find the number of edges will you have in a complete graph made of 40 vertices. Use…

Q: Draw a graph with six vertices and two bridges. Choose the correct graph below.

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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: 1. Draw the following: a. Complete graph with 4 vertices b. Cycle with 3 vertices c. Simple graph…

A: Note: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question…

Q: The complementary graph G' of a simple graph G hasthe same vertices as G. Two vertices are adjacent…

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

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Q: Either draw a graph with the following properties, or explain why you cannot: Tree with 9 vertices…

A: We know that, Any tree with n vertices has n-1 edges.

Q: A department wants to schedule final exams so that no student has more than one exam on any given…

A: Each edge represents a student who is taking the classes of each attached vertex(course). Since the…

Q: Suppose there are ten Middlebury College students in a room. One of those ten is friends with all of…

A: We are given the following information, There are 10 students in a room. One of them have…

Q: The graph with edges AC and BD is a connected graph. True False

A: We have to find , the graph with edges AC and BD is a connected graph or not.

Q: I need help finding the edge and vertex connectivity for the following graph....

A: For the given graph G, δ(G)=min degree=1Then we have,K(G)≤λG≤δ(G)=1

Q: Think of a list of six of your colleagues on Facebook and make a graph where each vertex is one of…

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