Title
A Nebesky´-type characterization for relative maximum genus
Abstract
. This paper concerns the maximum genus orientablesurface upon which a given graph cellularly embeds. Classicaltheorems of Xuong and Nebesk'y give exact values for the maximumgenus. The former is suited to constructing embeddingswhile the latter is suited to forbidding embeddings of larger genus.However, using either theorem alone requires an exhaustive searchto establish the exact value. Herein we examine relative embeddingsof graphs, where certain facial cycles and their...
Year
DOI
Venue
1998
10.1006/jctb.1997.1810
J. Comb. Theory, Ser. B
Keywords
Field
DocType
type characterization,relative maximum genus
Discrete mathematics,Graph,Combinatorics,Brute-force search,Genus (mathematics),Mathematics
Journal
Volume
Issue
ISSN
73
1
Journal of Combinatorial Theory, Series B
Citations 
PageRank 
References 
2
0.52
3
Authors
3
Name
Order
Citations
PageRank
Dan Archdeacon127750.72
C. Paul Bonnington210019.95
Jozef Širáň336254.24