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» The b-chromatic Number of a Graph
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EJC
2008
13 years 10 months ago
Coloring squares of planar graphs with girth six
Wang and Lih conjectured that for every g 5, there exists a number M(g) such that the square of a planar graph G of girth at least g and maximum degree M(g) is (+1)-colorable. ...
Zdenek Dvorak, Daniel Král, Pavel Nejedl&ya...
COMBINATORICS
2006
116views more  COMBINATORICS 2006»
13 years 10 months ago
Neighbour-Distinguishing Edge Colourings of Random Regular Graphs
A proper edge colouring of a graph is neighbour-distinguishing if for all pairs of adjacent vertices v, w the set of colours appearing on the edges incident with v is not equal to...
Catherine S. Greenhill, Andrzej Rucinski
COMBINATORICS
2004
94views more  COMBINATORICS 2004»
13 years 10 months ago
Short Cycles in Random Regular Graphs
Consider random regular graphs of order n and degree d = d(n) 3. Let g = g(n) 3 satisfy (d-1)2g-1 = o(n). Then the number of cycles of lengths up to g have a distribution simila...
Brendan D. McKay, Nicholas C. Wormald, Beata Wysoc...
JDA
2010
122views more  JDA 2010»
13 years 5 months ago
Subexponential parameterized algorithms for degree-constrained subgraph problems on planar graphs
We present subexponential parameterized algorithms on planar graphs for a family of problems of the following shape: given a graph, find a connected (induced) subgraph with bounde...
Ignasi Sau, Dimitrios M. Thilikos
ICASSP
2011
IEEE
13 years 2 months ago
Factor graph switching portfolios under transaction costs
We consider the sequential portfolio investment problem. Building on results in signal processing, machine learning, and other areas, we use factor graphs to develop new universal...
Andrew J. Bean, Andrew C. Singer