Answered: Hamiltonian circuit,

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Advanced Math

Hamiltonian circuit,

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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Question

Recall that a graph is bipartite if the vertices can be divided into two sets; for convenience let's call them blue vertices and red vertices, such that every edge connects a blue and a red vertex.

Prove that if a connected bipartite graph has a Hamiltonian circuit, then the numbers of red and blue vertices are equal.

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