## Abstract The crossing number __cr__(__G__) of a simple graph __G__ with __n__ vertices and __m__ edges is the minimum number of edge crossings over all drawings of __G__ on the β^2^ plane. The conjecture made by ErdΕs in 1973 that __cr__(__G__)ββ₯β__Cm__^3^/__n__^2^ was proved in 1982 by Leighton
An Improvement of the Boshier-Nomura Bound
β Scribed by A. Hiraki
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 93 KB
- Volume
- 61
- Category
- Article
- ISSN
- 0095-8956
No coin nor oath required. For personal study only.
β¦ Synopsis
We show that the number of columns (\left(c_{i}, a_{i}, b_{i}\right)=(1,1, k-2)) in the intersection arrays of distance-regular graphs is at most three if the column ((1,0, k-1)) exists. This improves the Bosheir-Nomura bound from four to three. 1994 Academic Press, Inc.
π SIMILAR VOLUMES
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