THE CROSSING NUMBER OF K-3,K-N IN A SURFACE

Authors
RICHTER RB SIRAN J
Citation
Rb. Richter et J. Siran, THE CROSSING NUMBER OF K-3,K-N IN A SURFACE, Journal of graph theory, 21(1), 1996, pp. 51-54
Citations number
7
Categorie Soggetti
Mathematics, Pure",Mathematics
Journal title
Journal of graph theory → ACNP
ISSN journal
03649024
Volume
21
Issue
1
Year of publication
1996
Pages
51 - 54
Database
ISI
SICI code
0364-9024(1996)21:1<51:TCNOKI>2.0.ZU;2-8
Abstract
In this article, we show that the crossing number of K-3,K- n in a sur face with Euler genus epsilon is right perpendicular n/(2 epsilon + 2) left perpendicular (n - (epsilon + 1){1 + left perpendicular n/(2 epsi lon + 2)left perpendicular}). This generalizes a result of Guy and Jen kyns, who obtained this result for the toru. (C) 1996 John Wiley & Son s, Inc.