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» The Graphs with All Subgraphs T-Perfect
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SODA
2008
ACM
70views Algorithms» more  SODA 2008»
13 years 9 months ago
Optimal universal graphs with deterministic embedding
Let H be a finite family of graphs. A graph G is H-universal if it contains a copy of each H H as a subgraph. Let H(k, n) denote the family of graphs on n vertices with maximum d...
Noga Alon, Michael R. Capalbo
MFCS
2007
Springer
14 years 1 months ago
NP by Means of Lifts and Shadows
We show that every NP problem is polynomially equivalent to a simple combinatorial problem: the membership problem for a special class of digraphs. These classes are defined by me...
Gábor Kun, Jaroslav Nesetril
AAIM
2011
Springer
337views Algorithms» more  AAIM 2011»
12 years 11 months ago
On Variants of the Spanning Star Forest Problem
A star forest is a collection of vertex-disjoint trees of depth at most 1, and its size is the number of leaves in all its components. A spanning star forest of a given graph G is ...
Jing He, Hongyu Liang
COMBINATORICA
2007
148views more  COMBINATORICA 2007»
13 years 7 months ago
Colored graphs without colorful cycles
A colored graph is a complete graph in which a color has been assigned to each edge, and a colorful cycle is a cycle in which each edge has a different color. We first show that ...
Richard N. Ball, Ales Pultr, Petr Vojtechovsk&yacu...
ENDM
2007
88views more  ENDM 2007»
13 years 7 months ago
Graph coloring with no large monochromatic components
For a graph G and an integer t we let mcct(G) be the smallest m such that there exists a coloring of the vertices of G by t colors with no monochromatic connected subgraph having ...
Nathan Linial, Jirí Matousek, Or Sheffet, G...