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Excluding induced subgraphs: quadrilaterals

Authors :
Angelika Steger
Hans Jürgen Prömel
Source :
Random Structures & Algorithms. 2:55-71
Publication Year :
1991
Publisher :
Wiley, 1991.

Abstract

In this note we determine the structure of “almost all” graphs not containing a quadrilateral (i.e., a cycle of length four) as an induced subgraph. In particular, it turns out that there are asymptotically twice as many graphs not containing an induced quadrilateral than there are bipartite graphs.

Details

ISSN :
10429832
Volume :
2
Database :
OpenAIRE
Journal :
Random Structures & Algorithms
Accession number :
edsair.doi...........1d5480a32e24b7a48152f593cc73919d
Full Text :
https://doi.org/10.1002/rsa.3240020106