𝔖 Bobbio Scriptorium
✦   LIBER   ✦

An Upper Bound for the Total Domination Subdivision Number of a Graph

✍ Scribed by H. Karami; R. Khoeilar; S. M. Sheikholeslami; A. Khodkar


Publisher
Springer Japan
Year
2009
Tongue
English
Weight
130 KB
Volume
25
Category
Article
ISSN
0911-0119

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


An upper bound for the k-domination numb
✍ E. J. Cockayne; B. Gamble; B. Shepherd πŸ“‚ Article πŸ“… 1985 πŸ› John Wiley and Sons 🌐 English βš– 82 KB πŸ‘ 2 views

The kdomination number of a graph G, y k ( G ) , is the least cardinality of a set U of verticies such that any other vertex is adjacent to at least k vertices of U. We prove that if each vertex has degree at least k. then YAG) 5 kp/(k + 1).

An Upper Bound for the Independent Domin
✍ Liang Sun; Jianfang Wang πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 87 KB

Let G be a simple graph of order n and minimum degree $. The independent domination number i(G) is defined to be the minimum cardinality among all maximal independent sets of vertices of G. In this paper, we show that i(G) n+2$&2 -n$. Thus a conjecture of Favaron is settled in the affirmative.

An upper bound for the total chromatic n
✍ H. R. Hind πŸ“‚ Article πŸ“… 1992 πŸ› John Wiley and Sons 🌐 English βš– 340 KB πŸ‘ 1 views

## Abstract In this paper we consider those graphs that have maximum degree at least 1/__k__ times their order, where __k__ is a (small) positive integer. A result of Hajnal and SzemerΓ©di concerning equitable vertex‐colorings and an adaptation of the standard proof of Vizing's Theorem are used to s