𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Explicit 2-Factorisations of the Odd Graph

✍ Scribed by J. Robert Johnson; H. A. Kierstead


Book ID
106489538
Publisher
Springer Netherlands
Year
2004
Tongue
English
Weight
93 KB
Volume
21
Category
Article
ISSN
0167-8094

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


The Odd Girth of the Generalised Kneser
✍ Tristan Denley πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 202 KB

Let X Ο­ Ν• 1 , 2 , . . . , n Ν– be a set of n elements and let X ( r ) be the collection of all the subsets of X containing precisely r elements . Then the generalised Kneser graph K ( n , r , s ) (when 2 r Οͺ s Ρ€ n ) is the graph with vertex set X ( r ) and edges AB for A , B X ( r ) with Ν‰ A ʝ B Ν‰ Ρ€

(2 + ?)-Coloring of planar graphs with l
✍ Klostermeyer, William; Zhang, Cun Quan πŸ“‚ Article πŸ“… 2000 πŸ› John Wiley and Sons 🌐 English βš– 258 KB πŸ‘ 3 views

The odd-girth of a graph is the length of a shortest odd circuit. A conjecture by Pavol Hell about circular coloring is solved in this article by showing that there is a function f ( ) for each : 0 < < 1 such that, if the odd-girth of a planar graph G is at least f ( ), then G is (2 + )-colorable. N

Characterization of the odd graphs Ok by
✍ Aeryung Moon πŸ“‚ Article πŸ“… 1982 πŸ› Elsevier Science 🌐 English βš– 776 KB

In this note, we settle a problem of N. Biggs [4, p. 801 by showing that for each k, no distance regular graph non-isomorphic to the odd graph Ok can have the same parameters as Ok. A related charxterization of certain graphs associated with the Johnson scheme J(2& + 1, k) is also g&en. By a graph w