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Tolerance competition graphs

✍ Scribed by R.C. Brigham; F.R. McMorris; R.P. Vitray

Publisher: Elsevier Science
Year: 1995
Tongue: English
Weight: 877 KB
Volume: 217
Category: Article
ISSN: 0024-3795
DOI: 10.1016/0024-3795(94)00059-m

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## Abstract Let ϕ be a symmetric binary function, positive valued on positive arguments. A graph __G__ = (__V__,__E__) is a ϕ‐__tolerance graph__ if each vertex υ ∈ __V__ can be assigned a closed interval __I__~υ~ and a positive tolerance __t__~υ~ so that __xy__ ∈ __E__ ⇔ | __I__~x~ ∩ __I__~y~|≥ ϕ