Culminating paths

Let a and b be two positive integers. A culminating path is a path of Z^2 that starts from (0,0), consists of steps (1,a) and (1,-b), stays above the x-axis and ends at the highest ordinate it ever reaches. These paths were first encountered in bioinformatics, in the analysis of similarity search al...

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Bibliographic Details
Main Authors: Mireille Bousquet-Mélou, Yann Ponty
Format: Article
Language:English
Published: Discrete Mathematics & Theoretical Computer Science 2007-06-01
Series:Discrete Mathematics & Theoretical Computer Science
Subjects:
Online Access:https://dmtcs.episciences.org/438/pdf