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
Enumeration of acyclic walks in a graph
✍ Scribed by Darko Babić; Ante Graovac
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 436 KB
- Volume
- 45
- Category
- Article
- ISSN
- 0166-218X
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
The aim of this note is to call attention to a simple regularity regarding the number of walks in a finite graph G. Let wk denote the number of walks of length k(> 0) in G. Then Wi+,, 5 W&Wzb holds for all a, b E NJ while equality holds exclusively either (I) for all a, b E No (in case G is a regula
This paper presents an efficient algorithm for enumerating all minimal a-b separators separating given non-adjacent vertices a and b in an undirected connected simple graph G = (V,E). Our algorithm requires O(n3R,b) time, which improves the known result of 0(n4R,b) time for solving this problem, whe
The acyclic orientations of a graph are related to its chromatic polynomial, to its reliability, and to certain hyperplane arrangements. In this paper, an algorithm for listing the acyclic orientations of a graph is presented. The algorithm is shown to Ž . require O n time per acyclic orientation ge