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Complete partitions of graphs

✍ Scribed by Magnús M. Halldórsson; Guy Kortsarz; Jaikumar Radhakrishnan; Sivaramakrishnan Sivasubramanian


Publisher
Springer-Verlag
Year
2007
Tongue
English
Weight
393 KB
Volume
27
Category
Article
ISSN
0209-9683

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Edge domination in complete partite grap
✍ Bor-Liang Chen; Hung-Lin Fu 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 416 KB

An edge dominating set in a graph G is a set of edges D such that every edge not in D is adjacent to an edge of D. An edge domatic partition of a graph C=(V, E) is a collection of pairwise-disjoint edge dominating sets of G whose union is E. The maximum size of an edge domatic partition of G is call

Covering the complete graph by partition
✍ Zoltán Füredi 📂 Article 📅 1989 🏛 Elsevier Science 🌐 English ⚖ 530 KB

A (D, c)-coloring of the complete graph K" is a coloring of the edges with c colors such that all monochromatic connected subgraphs have at most D vertices. Resolvable block designs with c parallel classes and with block size D are natural examples of (D, c)-colorings. However, (D, c)-colorings are