Suppose that G = (V, E) is a loop-free planar graph with | V | = v,
Question:
(a) State and prove an extension of Euler's Theorem for such a graph,
(b) Prove that Corollary 11.3 remains valid if G is loop-free and planar but not connected.
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a For each component C i V i E i 1 i n of G if e i E i and v i V i then ei vi 2 ri Su...View the full answer
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Related Book For
Discrete and Combinatorial Mathematics An Applied Introduction
ISBN: 978-0201726343
5th edition
Authors: Ralph P. Grimaldi
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