Consider a graph G where the vertices are points (a, b) with integer coordinates, and {(ai, bi), (aj, b;)} is an edge whenever a; + aj = b; + b;. Show that G is bipartite if and %3D only if it has at most two vertices on the line y = x.
Consider a graph G where the vertices are points (a, b) with integer coordinates, and {(ai, bi), (aj, b;)} is an edge whenever a; + aj = b; + b;. Show that G is bipartite if and %3D only if it has at most two vertices on the line y = x.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.7: Applications
Problem 80EQ
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