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Erratum: Mean distance and minimum degree

✍ Scribed by Kouider, Mekkia; Winkler, Peter


Publisher
John Wiley and Sons
Year
1999
Tongue
English
Weight
86 KB
Volume
30
Category
Article
ISSN
0364-9024

No coin nor oath required. For personal study only.

✦ Synopsis


95-99 mistakenly attributes the computer program GRAFFITI to Fajtlowitz and Waller, instead of just Fajtlowitz. (Our apologies to Siemion Fajtlowitz.) Note also that one of the ''flaws'' we note for Conjecture 62 (that it was made for graphs regular of degree d, vice graphs of minimum degree d) was corrected in Conjecture 127, offered after we wrote the paper but before Fajtlowitz learned of our result.


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## Abstract Degree conditions on the vertices of a __t__‐tough graph __G__ (1 ≀ t < 3) are presented which ensure the existence of a spanning cubic subgraph in __G__. These conditions are best possible to within a small additive constant for every fixed rational __t__ ∈[1,4/3)βˆͺ[2,8/3). Β© 2003 Wiley