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1. Prove the below statements: A. K7 has 21 edges. Use the theorem. B. C6 is bipartite, but C5 is not. C. K2,3 has 6 edges and 5 vertexes. Use the theorem.

1. Prove the below statements: A. K7 has 21 edges. Use the theorem. B. C6 is bipartite, but C5 is not. C. K2,3 has 6 edges and 5 vertexes. Use the theorem.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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1. Prove the below statements: A. K7 has 21 edges. Use the theorem. B. C, is bipartite, but C5 is not. C. K23 has 6 edges and 5 vertexes. Use the theorem. D. C6 could be presented as K3,3. 2. Find the below graphs: A. Union of C5 and K4. B. The intersection of K2,3 and Kg. C. One isomorphic graph of W4. 3. Find the adjacency matrix of the intersection of W4 and Kg. What is the degree of vertexes in W4 K5. 4. Find: A. Euler circuit of K B. Hamilton path of W5. C. Trail of Kg. 5. What is the chromatic number of the below graphs:
Transcribed Image Text:1. Prove the below statements: A. K7 has 21 edges. Use the theorem. B. C, is bipartite, but C5 is not. C. K23 has 6 edges and 5 vertexes. Use the theorem. D. C6 could be presented as K3,3. 2. Find the below graphs: A. Union of C5 and K4. B. The intersection of K2,3 and Kg. C. One isomorphic graph of W4. 3. Find the adjacency matrix of the intersection of W4 and Kg. What is the degree of vertexes in W4 K5. 4. Find: A. Euler circuit of K B. Hamilton path of W5. C. Trail of Kg. 5. What is the chromatic number of the below graphs:
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