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CIAC
2010
Springer
258views Algorithms» more  CIAC 2010»
14 years 5 months ago
A Planar Linear Arboricity Conjecture
The linear arboricity la(G) of a graph G is the minimum number of linear forests that partition the edges of G. In 1984, Akiyama et al. [1] stated the Linear Arboricity Conjecture...
Marek Cygan, Lukasz Kowalik, Borut Luzar
FOCS
2007
IEEE
14 years 2 months ago
Planning for Fast Connectivity Updates
Understanding how a single edge deletion can affect the connectivity of a graph amounts to finding the graph bridges. But when faced with d > 1 deletions, can we establish as ...
Mihai Patrascu, Mikkel Thorup
WAW
2004
Springer
96views Algorithms» more  WAW 2004»
14 years 1 months ago
A Geometric Preferential Attachment Model of Networks
We study a random graph Gn that combines certain aspects of geometric random graphs and preferential attachment graphs. The vertices of Gn are n sequentially generated points x1, ...
Abraham Flaxman, Alan M. Frieze, Juan Vera
ENDM
2008
82views more  ENDM 2008»
13 years 8 months ago
Finding Folkman Numbers via MAX CUT Problem
In this note we report on our recent work, still in progress, regarding Folkman numbers. Let f(2, 3, 4) denote the smallest integer n such that there exists a K4
Andrzej Dudek, Vojtech Rödl
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