A monotone path in an edge-ordered graph

An edge-ordered graph is an ordered pair (G,f), where G is a graph and f is a bijective function, f:E(G)→{1,2,…,|E(G)|}. A monotone path of length k in (G,f) is a simple path Pk+1:v1v2…vk+1 in G such that either f({vi,vi+1})<f({vi+1,vi+2}) or f({vi,vi+1})>f({vi+1,vi}) for i=1,2,…,k−1....

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Bibliographic Details
Main Authors: A. Bialostocki, Y. Roditty
Format: Article
Language:English
Published: Hindawi Limited 1987-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171287000383