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Existence of proportional graphs
Author(s) -
Kärrman Jan
Publication year - 1993
Publication title -
journal of graph theory
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.164
H-Index - 54
eISSN - 1097-0118
pISSN - 0364-9024
DOI - 10.1002/jgt.3190170209
Subject(s) - mathematics , combinatorics , conjecture , indifference graph , limit (mathematics) , discrete mathematics , chordal graph , random graph , graph , mathematical analysis
The notion of p ‐proportional graphs comes from the study of subgraph counts in random graphs, where the p ‐proportional graphs occur as exceptional cases in a central limit theorem. In this paper we show that p ‐proportional graphs exist for all rational p , 0 < p < 1, and thereby proving a conjecture from [3]. © 1993 John Wiley & Sons, Inc.