Related to Arc - Colored
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Complexity of trails, paths and circuits in arc-colored digraphs
We deal with different algorithmic questions regarding properly arc-colored s-t trails, paths and circuits in arc-colored digraphs. Given an arc-colored digraph D with c ≥ 2 colors, we show that the problem of determining the maximum number of arc disjoint properly arc-colored s-t trails can be solved in polynomial time. Surprisingly, we prove that the determination of a properly arc-colored s-...
متن کاملComplexity of Paths, Trails and Circuits in Arc-Colored Digraphs
We deal with different algorithmic questions regarding properly arc-colored s-t paths, trails and circuits in arc-colored digraphs. Given an arc-colored digraph D with c ≥ 2 colors, we show that the problem of maximizing the number of arc disjoint properly arc-colored s-t trails can be solved in polynomial time. Surprisingly, we prove that the determination of one properly arc-colored s-t path ...
متن کاملThe Euler and Chinese Postman Problems on 2-Arc-Colored Digraphs
The famous Chinese Postman Problem (CPP) is polynomial time solvable on both undirected and directed graphs. Gutin et al. [Discrete Applied Math 217 (2016)] generalized these results by proving that CPP on c-edge-colored graphs is polynomial time solvable for every c ≥ 2. In CPP on weighted edge-colored graphs G, we wish to find a minimum weight properly colored closed walk containing all edges...
متن کاملAnalogous to cliques for (m,n)-colored mixed graphs
A (m,n)-colored mixed graph is a graph having arcs of m different colors and edges of n different colors. A graph homomorphism of a (m,n)-colored mixed graph G to a (m,n)colored mixed graph H is a vertex mapping such that if uv is an arc (edge) of color c in G, then f(u)f(v) is also an arc (edge) of color c. The (m,n)-colored mixed chromatic number χ(m,n)(G) of a (m,n)-colored mixed graph G, in...
متن کاملHamiltonian-colored powers of strong digraphs
For a strong oriented graph D of order n and diameter d and an integer k with 1 ≤ k ≤ d, the kth power D of D is that digraph having vertex set V (D) with the property that (u, v) is an arc of D if the directed distance ~ dD(u, v) from u to v in D is at most k. For every strong digraph D of order n ≥ 2 and every integer k ≥ ⌈n/2⌉, the digraph D is Hamiltonian and the lower bound ⌈n/2⌉ is sharp....
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تاریخ انتشار 2011