Consider a connected graph with at least three vertices and no multiple edges. Let n be the number of vertices in the graph. If every vertex has degree of at least n/2, then, A. the graph must be Hamiltonian B. the graph must be Eulerian C. the graph must have a Hamiltonian path D. the graph must have an Euler path E. none of these
Consider a connected graph with at least three vertices and no multiple edges. Let n be the number of vertices in the graph. If every vertex has degree of at least n/2, then, A. the graph must be Hamiltonian B. the graph must be Eulerian C. the graph must have a Hamiltonian path D. the graph must have an Euler path E. none of these
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. Consider a connected graph with at least three vertices and no multiple edges. Let n be the number of vertices in the graph. If every vertex has degree of at least n/2, then,
A. the graph must be Hamiltonian
B. the graph must be Eulerian
C. the graph must have a Hamiltonian path
D. the graph must have an Euler path
E. none of these
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