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Quasi-total graphs with crossing numbers

✍ Scribed by Basavanagoud, B.


Book ID
127241280
Publisher
Informa UK (Taylor & Francis)
Year
1998
Tongue
English
Weight
380 KB
Volume
1
Category
Article
ISSN
0972-0529

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## Abstract The __crossing number__, cr(__G__), of a graph __G__ is the least number of crossing points in any drawing of __G__ in the plane. According to the Crossing Lemma of M. Ajtai, V. Chvátal, M. Newborn, E. Szemerédi, Theory and Practice of Combinatorics, North‐Holland, Amsterdam, New York,

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## Abstract Crossing numbers of Sierpiński graphs __S__(__n__,__k__) and their regularizations __S__^+^(__n__,__k__) and __S__^++^(__n__,__k__) are studied. Drawings of these graphs are presented and proved to be optimal for __S__^+^(__n__,__k__) and __S__^++^(__n__,__k__) for every __n__ ≥ 1 and _