A graph 1 is parity embedded in a surface if a closed path in the graph is orientation preserving or reversing according as its length is even or odd. The parity demigenus of 1 is the minimum of 2&/(S) (where / is Euler characteristic) over all surfaces S in which 1 can be parity embedded. We calcul
The parity of the number of 1-factors of a graph
β Scribed by Charles H.C. Little
- Publisher
- Elsevier Science
- Year
- 1972
- Tongue
- English
- Weight
- 344 KB
- Volume
- 2
- Category
- Article
- ISSN
- 0012-365X
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π SIMILAR VOLUMES
A set of points S of a graph is convex if any geodesic joining two points of S lies entirely within S. The convex hull of a set T of points is the smallest convex set that contains T. The hull number (h) of a graph is the cardinality of the smallest set of points whose convex hull is the entire grap
## Abstract A 1βfactorization is constructed for the line graph of the complete graph __K~n~__ when __n__ is congruent to 0 or 1 modulo 4.
Several authors have shown that if G is a connected graph of even order then its square G2 has a I-factor. We show that the square of any connected graph of order 2n has at least n I-factors and describe all the extremal graphs.