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CORR
2010
Springer
59views Education» more  CORR 2010»
13 years 8 months ago
Edge Growth in Graph Cubes
We show that for every connected graph G of diameter 3, the graph G3 has average degree 7 4 (G). We also provide an example showing that this bound is best possible. This resolv...
Matt DeVos, Stéphan Thomassé
DAM
2008
78views more  DAM 2008»
13 years 8 months ago
On classes of minimal circular-imperfect graphs
Circular-perfect graphs form a natural superclass of perfect graphs: on the one hand due to their definition by means of a more general coloring concept, on the other hand as an i...
Arnaud Pêcher, Annegret Wagler
DAM
2008
108views more  DAM 2008»
13 years 8 months ago
Feedback vertex set on AT-free graphs
We present a polynomial time algorithm to compute a minimum (weight) feedback vertex set for AT-free graphs, and extending this approach we obtain a polynomial time algorithm for ...
Dieter Kratsch, Haiko Müller, Ioan Todinca
DM
2008
116views more  DM 2008»
13 years 8 months ago
Total and fractional total colourings of circulant graphs
In this paper, the total chromatic number and fractional total chromatic number of circulant graphs are studied. For cubic circulant graphs we give upper bounds on the fractional ...
Riadh Khennoufa, Olivier Togni
CORR
2008
Springer
97views Education» more  CORR 2008»
13 years 8 months ago
Lower bounds for adaptive linearity tests
Linearity tests are randomized algorithms which have oracle access to the truth table of some function f, and are supposed to distinguish between linear functions and functions whi...
Shachar Lovett