Full paper in PDF:
$%T. Motohashi, Y. Ohyama, and K. Taniyama, Yamada polynomial and crossing number of spatial graphs., Rev. Mat. Univ. Complut. Madrid 7 (1994), no. 2, 247–277.%$

Yamada Polynomial and Crossing Number of Spatial Graphs
Tomoe MOTOHASHI, Yoshiyuki OHYAMA,
and Kouki TANIYAMA
NTT Telecommunication Networks Laboratories
3-9-11 Midori-cho
Musashino-shi, Tokyo — Japan
Department of Mathematics
Nagoya Institute of Mathematics
Gokisho, Showa-ku
Nagoya 466 — Japan
Department of Mathematics
College of Art and Sciences
Tokyo Woman’s Christian University
Zempukuji, 2-6-1, Suginamiku
Tokyo 167 — Japan

Received: July 7, 1993
 
ABSTRACT

In this paper we estimate the crossing number of a flat vertex graph in 3-space in terms of the reduced degree of its Yamada polynomial.

1991 Mathematics Subject Classification: 57M25, 57M15, 05C10.