a) State the number of edges in the complete graph Kg, where each pair of distinct vertices is adjacent. b) Let G be a simple graph with 8 vertices where each vertex has degree 3. Form the graph H by each edge of G with a non-edge, and each non-edge between distinct vertices of G with an edge. What er of edges in H? Explain your answer. c) Explain why there cannot exist a simple graph of order 11, where the vertices have degrees 1, 1, 2, 2, 2 6, 6.
a) State the number of edges in the complete graph Kg, where each pair of distinct vertices is adjacent. b) Let G be a simple graph with 8 vertices where each vertex has degree 3. Form the graph H by each edge of G with a non-edge, and each non-edge between distinct vertices of G with an edge. What er of edges in H? Explain your answer. c) Explain why there cannot exist a simple graph of order 11, where the vertices have degrees 1, 1, 2, 2, 2 6, 6.
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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