𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Perfect graph decompositions

✍ Scribed by Zsolt Tuza


Publisher
Springer Japan
Year
1991
Tongue
English
Weight
291 KB
Volume
7
Category
Article
ISSN
0911-0119

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


On perfect Ξ“-decompositions of the compl
✍ Marco Buratti; Anita Pasotti πŸ“‚ Article πŸ“… 2009 πŸ› John Wiley and Sons 🌐 English βš– 155 KB

## Abstract Generalizing the well‐known concept of an __i__‐perfect cycle system, Pasotti [Pasotti, in press, Australas J Combin] defined a Γ‐decomposition (Γ‐factorization) of a complete graph __K__~__v__~ to be __i‐perfect__ if for every edge [__x__, __y__] of __K__~__v__~ there is exactly one bl

A decomposition for strongly perfect gra
✍ Stephan Olariu πŸ“‚ Article πŸ“… 1989 πŸ› John Wiley and Sons 🌐 English βš– 554 KB

A graph G is strongly perfect if every induced subgraph H of G contains a stable set that meets all the maximal cliques of H . We present a graph decomposition that preserves strong perfection: more precisely, a stitch decomposition of a graph G = (V, €1 is a partition of V into nonempty disjoint su

Low diameter graph decompositions
✍ Nathan Linial; Michael Saks πŸ“‚ Article πŸ“… 1993 πŸ› Springer-Verlag 🌐 English βš– 916 KB
Graph Decompositions without Isolated Ve
✍ H. Enomoto πŸ“‚ Article πŸ“… 1995 πŸ› Elsevier Science 🌐 English βš– 405 KB

We prove the following conjecture of A. Frank (Fifth British Combinatorial Conference, Aberdeen, Scotland, 1975): Let \(G\) be a connected simple graph of order \(n\), and \(n=n_{1}+\cdots+n_{k}\) be a partition of \(n\) with \(n_{i} \geqslant 2\). Suppose that the minimum degree of \(G\) is at leas