Monochromatic directed walks in arc-colored directed graphs
β Scribed by N. Alon
- Publisher
- Akadmiai Kiad
- Year
- 1987
- Tongue
- English
- Weight
- 258 KB
- Volume
- 49
- Category
- Article
- ISSN
- 1588-2632
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π SIMILAR VOLUMES
We give a matrix generalization of the family of exponential polynomials in one variable , k (x). Our generalization consists of a matrix of polynomials 8 k (X)= (8 (k) i, j (X)) n i, j=1 depending on a matrix of variables X=(x i, j ) n i, j=1 . We prove some identities of the matrix exponential pol
A vectorized computer code is developed for the enumeration of walks through the matrix power method for directed graphs. Application of this code to several graphs is considered. It is shown that the coefficients in the generating functions for signed graphs are much smaller in magnitude. It is sho
de Graaf, M., A. Schrijver and P.D. Seymour, Directed triangles in directed graphs, Discrete Mathematics 110 (1992) 279-282. h on n vertices, each with indegree and outdegree at least n/t, contains a directed circuit of length at most