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Engineering Mathematics – Volume Ii

An edge e of G is a bridge ofG if and only ife does not lie on any cycle of G. Proof.
Let e be a bridge of G. Suppose u, v are the end vertices of e and e does lie on a
cycle, say C : u, v,w, . . . , x, u. The graph G — e contains a u—v path say u, x, . . . ,
w, v and hence u is connected to v. We have to prove that G — e is connected.
Let x and y be any two vertices of G — e. To prove G — e contains an x-y path.
Since G is connected, there is an x-y path P in G. Now, there are two possibilities:
e ...

Introduction to Engineering Mathematics

This foundation text is aimed at the less well prepared student at pre-degree level, and provides well-paced, mathematically sound and motivating coverage. The text concentrates on applicable maths, including simple engineering examples across all engineering disciplines, highlighting the relevance of the mathematical techniques presented. Clear explanations of the concepts behind each technique are provided.

This foundation text is aimed at the less well prepared student at pre-degree level, and provides well-paced, mathematically sound and motivating coverage.