𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Domination in colored complete graphs

✍ Scribed by P. Erdös; R. Faudree; A. Gyárfás; R. H. Schelp


Publisher
John Wiley and Sons
Year
1989
Tongue
English
Weight
251 KB
Volume
13
Category
Article
ISSN
0364-9024

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


Properly colored hamilton cycles in edge
✍ N. Alon; G. Gutin 📂 Article 📅 1997 🏛 John Wiley and Sons 🌐 English ⚖ 156 KB 👁 3 views

It is shown that, for ⑀ ) 0 and n ) n ⑀ , any complete graph K on n vertices 0 ' Ž . whose edges are colored so that no vertex is incident with more than 1 y 1r 2 y ⑀ n edges of the same color contains a Hamilton cycle in which adjacent edges have distinct colors. Moreover, for every k between 3 and

Special monochromatic trees in two-color
✍ Chen, Guantao; Schelp, Richard H.; ?olt�s, ?ubom�r 📂 Article 📅 1997 🏛 John Wiley and Sons 🌐 English ⚖ 106 KB 👁 2 views

For a positive integer k, a set of k + 1 vertices in a graph is a k-cluster if the difference between degrees of any two of its vertices is at most k -1. Given any tree T with at least k 3 edges, we show that for each graph G of sufficiently large order, either G or its complement contains a copy of

Alternating hamiltonian cycles in two co
✍ A. G. Chetwynd; A. J. W. Hilton 📂 Article 📅 1992 🏛 John Wiley and Sons 🌐 English ⚖ 269 KB 👁 2 views

## Abstract We give necessary and sufficient conditions for the existence of an alternating Hamiltonian cycle in a complete bipartite graph whose edge set is colored with two colors.

Characterization of edge-colored complet
✍ Jinfeng Feng; Hans-Erik Giesen; Yubao Guo; Gregory Gutin; Tommy Jensen; Arash Ra 📂 Article 📅 2006 🏛 John Wiley and Sons 🌐 English ⚖ 164 KB

## Abstract An edge‐colored graph __H__ is properly colored if no two adjacent edges of __H__ have the same color. In 1997, J. Bang‐Jensen and G. Gutin conjectured that an edge‐colored complete graph __G__ has a properly colored Hamilton path if and only if __G__ has a spanning subgraph consisting

Paired-domination in graphs
✍ Haynes, Teresa W.; Slater, Peter J. 📂 Article 📅 1998 🏛 John Wiley and Sons 🌐 English ⚖ 145 KB 👁 3 views

In a graph G Å (V, E) if we think of each vertex s as the possible location for a guard capable of protecting each vertex in its closed neighborhood N[s], then ''domination'' requires every vertex to be protected. Thus, S ʚ V (G) is a dominating set if ʜ s √ S N[s] Å V (G). For total domination, eac

Set domination in graphs
✍ E. Sampathkumar; L. Pushpa Latha 📂 Article 📅 1994 🏛 John Wiley and Sons 🌐 English ⚖ 355 KB

## Abstract Let __G__ = (__V, E__) be a connected graph. A set __D__ ⊂ __V__ is a __set‐dominating set__ (sd‐set) if for every set __T__ ⊂ __V__ − __D__, there exists a nonempty set __S__ ⊂ __D__ such that the subgraph 〈__S__ ∪ __T__〉 induced by __S__ ∪ __T__ is connected. The set‐domination number