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A note on minimum graphs with girth pair (4, 2l + 1)

✍ Scribed by Denis Hanson; Ping Wang; Gary Macgillivray

Publisher: John Wiley and Sons
Year: 1994
Tongue: English
Weight: 125 KB
Volume: 18
Category: Article
ISSN: 0364-9024
DOI: 10.1002/jgt.3190180403

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✦ Synopsis

Abstract

We show that the size of a smallest connected k‐regular graph with girth pair (4, 2__l__ + 1) is within a constant of (2__l__ + 1) k/2. In so doing we disprove a conjecture of Harary and Kovacs.

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