Pancyclicity when each Cycle Must Pass Exactly k Hamilton Cycle Chords

It is known that Θ(log n) chords must be added to an n-cycle to produce a pancyclic graph; for vertex pancyclicity, where every vertex belongs to a cycle of every length, Θ(n) chords are required. A possibly ‘intermediate’ variation is the following: given k, 1 ≤ k ≤ n, how many chords must be added...

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Bibliographic Details
Main Authors: Affif Chaouche Fatima, Rutherford Carrie G., Whitty Robin W.
Format: Article
Language:English
Published: Sciendo 2015-08-01
Series:Discussiones Mathematicae Graph Theory
Subjects:
Online Access:https://doi.org/10.7151/dmgt.1818