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A new characterization of graphs based on interception relations

โœ Scribed by Paz, Azaria; Pearl, Judea; Ur, Shmuel


Publisher
John Wiley and Sons
Year
1996
Tongue
English
Weight
713 KB
Volume
22
Category
Article
ISSN
0364-9024

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โœฆ Synopsis


While graphs are normally defined in terms of the 2-place relation of adjacency, we take the 3-place relation of interception as the basic primitive of their definition. The paper views graphs as an economical scheme for encoding interception relations, and establishes an axiomatic characterization of relations that lend themselves to representation in terms of graph interception, thus providing a new characterization of graphs. o 1996


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## Abstract A graph __G__ is domination perfect if for each induced subgraph __H__ of __G__, ฮณ(__H__) = __i__(__H__), where ฮณ and __i__ are a graph's domination number and independent domination number, respectively. Zverovich and Zverovich [3] offered a finite forbidden induced characterization of