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» Improper choosability of graphs and maximum average degree
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WG
2005
Springer
14 years 28 days ago
Approximation Algorithms for the Weighted Independent Set Problem
In unweighted case, approximation ratio for the independent set problem has been analyzed in terms of the graph parameters, such as the number of vertices, maximum degree, and aver...
Akihisa Kako, Takao Ono, Tomio Hirata, Magnú...
COLOGNETWENTE
2009
13 years 8 months ago
Acyclic and Frugal Colourings of Graphs
Given a graph G = (V, E), a proper vertex colouring of V is t-frugal if no colour appears more than t times in any neighbourhood and is acyclic if each of the bipartite graphs con...
Ross J. Kang, Tobias Müller
DMTCS
2006
66views Mathematics» more  DMTCS 2006»
13 years 7 months ago
On randomly colouring locally sparse graphs
We consider the problem of generating a random q-colouring of a graph G = (V, E). We consider the simple Glauber Dynamics chain. We show that if for all v V the average degree of...
Alan M. Frieze, Juan Vera
DM
2010
78views more  DM 2010»
13 years 7 months ago
Injective colorings of sparse graphs
Let Mad(G) denote the maximum average degree (over all subgraphs) of G and let i(G) denote the injective chromatic number of G. We prove that if Mad(G) 5 2 , then i(G) + 1; sim...
Daniel W. Cranston, Seog-Jin Kim, Gexin Yu
SETA
2004
Springer
93views Mathematics» more  SETA 2004»
14 years 24 days ago
Spectral Orbits and Peak-to-Average Power Ratio of Boolean Functions with Respect to the {I, H, N}n Transform
We enumerate the inequivalent self-dual additive codes over GF(4) of blocklength n, thereby extending the sequence A090899 in The On-Line Encyclopedia of Integer Sequences from n =...
Lars Eirik Danielsen, Matthew G. Parker