𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Anti-Ramsey Numbers of Subdivided Graphs

✍ Scribed by Tao Jiang


Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
88 KB
Volume
85
Category
Article
ISSN
0095-8956

No coin nor oath required. For personal study only.

✦ Synopsis


Given a positive integer n and a family F of graphs, the anti-Ramsey number f(n, F) is the maximum number of colors in an edge-coloring of K n such that no subgraph of K n belonging to F has distinct colors on its edges. The Tura Β΄n number ex(n, F) is the maximum number of edges of an n-vertex graph that does not contain a member of F as a subgraph.


πŸ“œ SIMILAR VOLUMES


Subdivided graphs have linear ramsey num
✍ Noga Alon πŸ“‚ Article πŸ“… 1994 πŸ› John Wiley and Sons 🌐 English βš– 247 KB

## Abstract It is shown that the Ramsey number of any graph with __n__ vertices in which no two vertices of degree at least 3 are adjacent is at most 12__n__. In particular, the above estimate holds for the Ramsey number of any __n__‐vertex subdivision of an arbitrary graph, provided each edge of t

Anti-Ramsey numbers of doubly edge-criti
✍ Tao Jiang; Oleg Pikhurko πŸ“‚ Article πŸ“… 2009 πŸ› John Wiley and Sons 🌐 English βš– 114 KB

## Abstract Given a graph __H__ and a positive integer __n__, __Anti‐Ramsey number AR__(__n, H__) is the maximum number of colors in an edge‐coloring of __K__~__n__~ that contains no polychromatic copy of __H__. The anti‐Ramsey numbers were introduced in the 1970s by ErdΕ‘s, Simonovits, and SΓ³s, who

Constrained Ramsey numbers of graphs
✍ Robert E. Jamison; Tao Jiang; Alan C. H. Ling πŸ“‚ Article πŸ“… 2002 πŸ› John Wiley and Sons 🌐 English βš– 135 KB

## Abstract Given two graphs __G__ and __H__, let __f__(__G__,__H__) denote the minimum integer __n__ such that in every coloring of the edges of __K__~__n__~, there is either a copy of __G__ with all edges having the same color or a copy of __H__ with all edges having different colors. We show tha

Irredundant ramsey numbers for graphs
✍ R. C. Brewster; E. J. Cockayne; C. M. Mynhardt πŸ“‚ Article πŸ“… 1989 πŸ› John Wiley and Sons 🌐 English βš– 356 KB
Linear Ramsey numbers of sparse graphs
✍ Lingsheng Shi πŸ“‚ Article πŸ“… 2005 πŸ› John Wiley and Sons 🌐 English βš– 102 KB

## Abstract The Ramsey number __R__(__G__~1~,__G__~2~) of two graphs __G__~1~ and __G__~2~ is the least integer __p__ so that either a graph __G__ of order __p__ contains a copy of __G__~1~ or its complement __G__^c^ contains a copy of __G__~2~. In 1973, Burr and ErdΕ‘s offered a total of $25 for se