๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

On zero sum Ramsey numbers: Multiple copies of a graph

โœ Scribed by A. Bialostocki; P. Dierker


Publisher
John Wiley and Sons
Year
1994
Tongue
English
Weight
376 KB
Volume
18
Category
Article
ISSN
0364-9024

No coin nor oath required. For personal study only.

โœฆ Synopsis


Abstract

As a consequence of our main result, a theorem of Schrijver and Seymour that determines the zero sum Ramsey numbers for the family of all rโ€hypertrees on m edges and a theorem of Bialostocki and Dierker that determines the zero sum Ramsey numbers for rโ€hypermatchings are combined into a single theorem. Another consequence is the determination of zero sum Ramsey numbers of multiple copies of some small graphs.


๐Ÿ“œ SIMILAR VOLUMES


Zero-sum delta-systems and multiple copi
โœ Caro, Yair; Provstgaard, Christian ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 268 KB ๐Ÿ‘ 1 views

A main result proved in this paper is the following. Theorem. Let G be a noncomplete graph on n vertices with degree sequence where R is the zero-sum Ramsey number.

On zero-sum delta-systems and multiple c
โœ Yair Caro ๐Ÿ“‚ Article ๐Ÿ“… 1991 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 492 KB ๐Ÿ‘ 1 views

## Abstract We prove the following generalization of earlier results of Bialostocki and Dierker [3] and Caro [7]. Theorem. Let __t__ โฉพ __k__ โฉพ 2 be positive integers such that __k__ | __t__, and let __c :E__(K) โ†’ โ„ค~__k__~ be a mapping of all the __r__โ€subsets of an __rt__ + __k__ โˆ’1 element set in

Bounds on chromatic numbers of multiple
โœ Jรกn Plesnรญk ๐Ÿ“‚ Article ๐Ÿ“… 1978 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 306 KB ๐Ÿ‘ 1 views

## Abstract Bounds on the sum and product of the chromatic numbers of __n__ factors of a complete graph of order __p__ are shown to exist. The wellโ€known theorem of Nordhaus and Gaddum solves the problem for __n__ = 2. Strict lower and some upper bounds for any __n__ and strict upper bounds for __n