Title
The order upper bound on parity embedding of a graph
Abstract
A graph Γ 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 Γ is the minimum of 2− χ ( S ) (where χ is the Euler characteristic) over all surfaces S in which Γ can be parity embedded. We calculate the maximum parity demigenus over all graphs, simple or not, of order n .
Year
DOI
Venue
1996
10.1006/jctb.1996.0060
J. Comb. Theory, Ser. B
Keywords
Field
DocType
upper bound,euler characteristic
Discrete mathematics,Combinatorics,Line graph,Bound graph,Upper and lower bounds,Cubic graph,Euler characteristic,Parity (mathematics),Mathematics,Planar graph,Complement graph
Journal
Volume
Issue
ISSN
68
1
Journal of Combinatorial Theory, Series B
Citations 
PageRank 
References 
4
0.75
0
Authors
1
Name
Order
Citations
PageRank
T. Zaslavsky129756.67