19. (a) For which values of m and n is the complete bipartite graph Km.n a tree? (b) For which values n is the complete graph K, a tree?

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
Section1.2: Graphs Of Equations In Two Variables; Circles
Problem 5E: a If a graph is symmetric with respect to the x-axis and (a,b) is on the graph, then (,) is also on...
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19-
(d) Antisymmetric YES NO
(e) Irreflexive YES NO
(f) Asymmetric YES NO
or) el (0)
18.
(a) How many simple non-isomorphic simple undirected graphs with
five vertices and three edges are there? Draw them all (hint: less than 10)
(b) How many simple non-isomorphic directed graphs with five vertices and
three edges are there? Draw them all. (hint: less than 20)
19.
(a) For which values of m and n is the complete bipartite graph Km.n a
tree?
(b) For which values n is the complete graph K, a tree?
20.
Prove: A bipartite graph with an odd number of vertices does NOT
have a Hamilton Circuit.
Transcribed Image Text:(d) Antisymmetric YES NO (e) Irreflexive YES NO (f) Asymmetric YES NO or) el (0) 18. (a) How many simple non-isomorphic simple undirected graphs with five vertices and three edges are there? Draw them all (hint: less than 10) (b) How many simple non-isomorphic directed graphs with five vertices and three edges are there? Draw them all. (hint: less than 20) 19. (a) For which values of m and n is the complete bipartite graph Km.n a tree? (b) For which values n is the complete graph K, a tree? 20. Prove: A bipartite graph with an odd number of vertices does NOT have a Hamilton Circuit.
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