True or False. Justify Your Answer.  a) There is a vertex v in a bipartite graph G = (V,E) with deg (v) = m+n. Where m = |V1| and n = |V2| b) is it possible for a graph to be a tree and complete bipartite graph at the same time?

Q: The graph in figure 1 is a sales network, where • s represents a factory producing pop-its, t is the…

A: Given:The graph in figure 1 is a sales network, where: represents a factory producing pop-its, is…

Q: Liiven the Express Graph rectangles fx) and

A: ∫02(6-x2) dxReimann sum islimn->∞∑i=1n△x·f(a+i△x)△x=b-an=2-0n=2n   We know that f(x)=6-x^2…

Q: What is a bipartite graph? Describe it in your own words.

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A:

Q: 4. (a) Define f : R×R→R×R by f(x,y) = (2x – y, x – 2y). Prove that f is one-to-one. Describe f-1.…

A: We will use the basic knowledge of functions and set theory to answer both the parts of this…

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A: Step 1: It is given that n is even. Let the two components have m and n−m vertices, respectively.…

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A: We need to determine the number of vertices using the number of edges and degrees of each vertex.

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A: Given that a tree with n vertex with maximum degree ∆≥2. It is known that in tree every vertex is of…

Q: 2n 4. Prove or disprove: for every n-vertex graph G, x(G) ≤ 2w(G) + a (G) (6 + 10.

A: There is n -vertex graph G. For the n vertex graph G, it has to be proven that χ(G) ≤2ω(G) + 2n/α(G)…

Q: A null graph is (c) A graph without edges. O (d) A graph with one vertex. (b) A graph with E(G)…

A: A null graph is

Q: can you please provide explanations

A: A bipartite graph is a graph such that vertex set of the graph can be partitioned into two sets (V1…

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A: To check which of the following graphs are  subgraph of above graph.

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A: In the given problem we apply Euler's formula for polygon V - E + F = 2 Where V is the vertices of…

Q: Don't use chat gpt It Chatgpt means downvote

A: Step 1: Step 2: Step 3: Step 4:

Q: G2. Draw a graph with the set of vertices V = {a, b, c, d) and the set of edges E = {{b, c}, {c, d},…

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Q: c) Represent the graph |zi| = |z + il

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Q: SOLVE STEP BY STEP AND IN DIGITAL FORMAT 5. Draw the graph G that has as vertex set V (G) and edge…

A: What is Graph: In mathematics, graph theory is the study of graphs, which are mathematical…

Q: Let G(r, s) be the graph with vertex set V= {(a,b) e Zx Z|1<a<r,1<b<s} and edge set = {(a,b), (c,…

A: Given G(r, s) is a graph with vertex set V={(a, b) ∈ℤ×ℤ| 1≤a≤r, 1≤b≤s} and edge set E={{(a, b), (c,…

Q: [CLO-2] Assume you have a graph with vertex set V = (A, B, C, D, E) and edge set E = (CD, CB, DA,…

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Q: 1. In the sketch below is the floor plan of a house showing the rooms and the doorways. Is it…

A: It is impossible   1. Suppose you have drawn such a line and follow      it from one room to…

Q: 2.15 Find a graph G with 10 vertices, 24 edges and Y(G) = 4. 10 2193

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Q: Please do not give solution in image format thanku

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Q: 13. Show by example that the statement "every planar graph has a vertex with degree less than or…

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A: a bipartite graph (or bi-graph) is a graph whose vertices can be divided into two disjoint and…

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A: The formula for multiple connected component c is, v +f = e + c + 1

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Q: Let G be the following graph: 6. 7 10 11 12 13 14 15 16 17 a) The number of vertices of degree 1 is.…

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Q: 6. Draw the complete bipartite graph K4,5 and it's complement. Find the number of vertices |V| and…

A: The complete bipartite graph K4,5 is shown below

Q: K) (E

A: This is a problem from Graph Theory.

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A: Explanation of the answer is as follows

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A: A complete bipartite graph K(m,n) has two sets of vertices, with m vertices in one set and n…

Q: Complete a path straight at vertex a that ends at vertex c.

A: A complete path is defined when all the vertices are passed through and none of the smaller paths…