✦ LIBER ✦

The Order Upper Bound on Parity Embedding of a Graph

✍ Scribed by Thomas Zaslavsky

Publisher: Elsevier Science
Year: 1996
Tongue: English
Weight: 398 KB
Volume: 68
Category: Article
ISSN: 0095-8956
DOI: 10.1006/jctb.1996.0060

No coin nor oath required. For personal study only.

✦ Synopsis

A graph 1 is parity embedded in a surface if a closed path in the graph is orientation preserving or reversing according to whether its length is even or odd. The parity demigenus of 1 is the minimum of 2&/(S) (where / is the Euler characteristic) over all surfaces S in which 1 can be parity embedded. We calculate the maximum parity demigenus over all graphs, simple or not, of order n.

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