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CPC
2007
50views more  CPC 2007»
13 years 11 months ago
Ore-type graph packing problems
Alexandr V. Kostochka, Gexin Yu
CPC
2007
101views more  CPC 2007»
13 years 11 months ago
Colouring Random 4-Regular Graphs
We show that a random 4-regular graph asymptotically almost surely (a.a.s.) has chromatic number 3. The proof uses an efficient algorithm which a.a.s. 3colours a random 4-regular ...
Lingsheng Shi, Nicholas C. Wormald
CPC
2007
76views more  CPC 2007»
13 years 11 months ago
Strong Isometric Dimension, Biclique Coverings, and Sperner's Theorem
The strong isometric dimension of a graph G is the least number k such that G isometrically embeds into the strong product of k paths. Using Sperner’s Theorem, the strong isomet...
Dalibor Froncek, Janja Jerebic, Sandi Klavzar, Pet...