𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Efficient domination of the orientations of a graph

✍ Scribed by David W. Bange; Anthony E. Barkauskas; Linda H. Host; Lane H. Clark


Book ID
104114032
Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
569 KB
Volume
178
Category
Article
ISSN
0012-365X

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


On domination and independent domination
✍ Robert B. Allan; Renu Laskar πŸ“‚ Article πŸ“… 1978 πŸ› Elsevier Science 🌐 English βš– 399 KB

For a graph G, the definitions of doknation number, denoted y(G), and independent domination number, denoted i(G), are given, and the following results are obtained: oorollrrg 1. For any graph G, y(L(G)) = i@(G)), where Z,(G) is the line graph of G. (This $xh!s t.lic rtsult ~(L(T))~i(L(T)), h w ere

The cototal domination number of a graph
✍ Kulli, V. R.; Janakiram, B.; Iyer, Radha R. πŸ“‚ Article πŸ“… 1999 πŸ› Informa UK (Taylor & Francis) 🌐 English βš– 271 KB
Generating the Acyclic Orientations of a
✍ Matthew B Squire πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 206 KB

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 Ε½ . require O n time per acyclic orientation ge

Bounds on the -domination number of a gr
✍ Ermelinda DeLaViΓ±a; Wayne Goddard; Michael A. Henning; Ryan Pepper; Emil R. Vaug πŸ“‚ Article πŸ“… 2011 πŸ› Elsevier Science 🌐 English βš– 200 KB

The k-domination number of a graph is the cardinality of a smallest set of vertices such that every vertex not in the set is adjacent to at least k vertices of the set. We prove two bounds on the k-domination number of a graph, inspired by two conjectures of the computer program Graffiti.pc. In part

On the r-domination number of a graph
✍ Jerrold R. Griggs; Joan P. Hutchinson πŸ“‚ Article πŸ“… 1992 πŸ› Elsevier Science 🌐 English βš– 468 KB

For r > 0, let the r-domination number of a graph, d,, be the size of a smallest set of vertices such that every vertex of the graph is within distance r of a vertex in that set. This paper contains proofs that every graph with a spanning tree with at least n/2 leaves has d, s n/(2r); this compares