A two-colored digraph is a digraph whose arcs are colored red or blue. A two-colored digraph is primitive provided that there exist nonnegative integers h and k with h + k > 0 such that for each pair (i, j ) of vertices there is an (h, k)-walk from i to j in D. The exponent of D is the minimum value
Exponents of two-colored digraphs with two cycles
β Scribed by Yubin Gao; Yanling Shao
- Publisher
- Elsevier Science
- Year
- 2005
- Tongue
- English
- Weight
- 216 KB
- Volume
- 407
- Category
- Article
- ISSN
- 0024-3795
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π SIMILAR VOLUMES
A 2-coloring (G 1 , G 2 ) of a digraph is 2-primitive if there exist nonnegative integers h and k with h + k > 0 such that for each ordered pair (u, v) of vertices there exists an is the minimum value of h + k taken over all such h and k. In this paper, we consider 2-colorings of strongly connected
## Abstract We give necessary and sufficient conditions for the existence of an alternating Hamiltonian cycle in a complete bipartite graph whose edge set is colored with two colors.
Let G be a graph with point set V. A (2.)c,oloring of G is a map of V to ired, white!. An error occurs whenever the two endpoints of a line have the same color. An oprimul doring of G is a coloring of G for which the number of errors is minimum. The minimum number of errors is denoted by y(G), we de
In the paper we present two characterizations of classes of digraphs. The first is a forbidden triple characterization of digraphs with augmented adjacency matrices having consecutive ones property for columns. The second is a forbidden circuit characterization of digraphs with totally balanced augm