𝔖 Bobbio Scriptorium
✦   LIBER   ✦

An upper bound for the minimum rank of a graph

✍ Scribed by Avi Berman; Shmuel Friedland; Leslie Hogben; Uriel G. Rothblum; Bryan Shader


Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
137 KB
Volume
429
Category
Article
ISSN
0024-3795

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


An upper bound for the path number of a
✍ Alan Donald πŸ“‚ Article πŸ“… 1980 πŸ› John Wiley and Sons 🌐 English βš– 529 KB

## Abstract The path number of a graph __G__, denoted __p(G)__, is the minimum number of edge‐disjoint paths covering the edges of __G.__ LovΓ‘sz has proved that if __G__ has __u__ odd vertices and __g__ even vertices, then __p(G)__ ≀ 1/2 __u__ + __g__ ‐ 1 ≀ __n__ ‐ 1, where __n__ is the total numbe

An upper bound for the harmonious chroma
✍ Sin-Min Lee; John Mitchem πŸ“‚ Article πŸ“… 1987 πŸ› John Wiley and Sons 🌐 English βš– 149 KB πŸ‘ 2 views

An upper bound for the harmonious chromatic number of a graph G is given. Three corollaries of the theorem are theorems or improvements of the theorems of Miller and Pritikin. The assignment of colors to the vertices of a graph such that each vertex has exactly one color has been studied for well o

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 radius of a 3-con
✍ Jochen Harant πŸ“‚ Article πŸ“… 1993 πŸ› Elsevier Science 🌐 English βš– 286 KB

For a 3-connected graph with radius r containing n vertices, in [1] r < n/4 + O(log n) was proved and r < n/4 + const was conjectured. Here we prove r < n/4 + 8. Let G be a simple 3-connected finite graph on n vertices with vertex set V(G) and edge set E(G). For X, YE V(G) we denote by d(X, Y) the