𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Bounds on eigenvalues and chromatic numbers

✍ Scribed by Cao, D


Book ID
120116007
Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
361 KB
Volume
270
Category
Article
ISSN
0024-3795

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Bounds on eigenvalues and chromatic numb
✍ Dasong Cao πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 455 KB

We give new bounds on eigenvalue of graphs which imply some known bounds. In particular, if T(G) is the maximum sum of degrees of vertices a~t to a vertex in a graph G, the largest eigenvalue p(G) of G satisfies p(G) <~ ~IT(G) with equality if and only if either G is regular or G is bipartite and su

Lower Bounds for Measurable Chromatic Nu
✍ Christine Bachoc; Gabriele Nebe; Fernando MΓ‘rio de Oliveira Filho; Frank Vallent πŸ“‚ Article πŸ“… 2009 πŸ› Springer 🌐 English βš– 263 KB
A Bound on the Total Chromatic Number
✍ Michael Molloy; Bruce Reed πŸ“‚ Article πŸ“… 1998 πŸ› Springer-Verlag 🌐 English βš– 481 KB
Some upper bounds on the total and list
✍ Roland HΓ€ggkvist; Amanda Chetwynd πŸ“‚ Article πŸ“… 1992 πŸ› John Wiley and Sons 🌐 English βš– 762 KB

## Abstract In this paper we discuss some estimates for upper bounds on a number of chromatic parameters of a multigraph. In particular, we show that the total chromatic number for an __n__‐order multigraph exceeds the chromatic index by the smallest __t__ such that __t__! > __n__.

Bounds on chromatic numbers of multiple
✍ JΓ‘n PlesnΓ­k πŸ“‚ Article πŸ“… 1978 πŸ› John Wiley and Sons 🌐 English βš– 306 KB πŸ‘ 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 well‐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