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FOCS
2004
IEEE
15 years 8 months ago
Randomly Coloring Constant Degree Graphs
We study a simple Markov chain, known as the Glauber dynamics, for generating a random k-coloring of a n-vertex graph with maximum degree . We prove that, for every > 0, the d...
Martin E. Dyer, Alan M. Frieze, Thomas P. Hayes, E...
ENDM
2002
107views more  ENDM 2002»
15 years 4 months ago
Edge-Colorings of Complete Graphs that Avoid Polychromatic Trees
Given a positive integer n and a family F of graphs, let R(n, F) denote the maximum number of colors in an edge-coloring of Kn such that no subgraph of Kn belonging to F has disti...
Tao Jiang, Douglas B. West
GC
2002
Springer
15 years 4 months ago
A Note on Cycle Lengths in Graphs
We prove that for every c > 0 there exists a constant K = K(c) such that every graph G with n vertices and minimum degree at least cn contains a cycle of length t for every even...
Ronald J. Gould, Penny E. Haxell, A. D. Scott
152
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AAIM
2007
Springer
151views Algorithms» more  AAIM 2007»
15 years 11 months ago
Acyclic Edge Colouring of Outerplanar Graphs
An acyclic edge colouring of a graph is a proper edge colouring having no 2-coloured cycle, that is, a colouring in which the union of any two colour classes forms a linear forest...
Rahul Muthu, N. Narayanan, C. R. Subramanian
ISAAC
2007
Springer
111views Algorithms» more  ISAAC 2007»
15 years 11 months ago
Problem Kernels for NP-Complete Edge Deletion Problems: Split and Related Graphs
In an edge deletion problem one is asked to delete at most k edges from a given graph such that the resulting graph satisfies a certain property. In this work, we study four NP-co...
Jiong Guo