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» The Graphs with All Subgraphs T-Perfect
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SODA
2008
ACM
70views Algorithms» more  SODA 2008»
14 years 11 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
15 years 3 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»
14 years 1 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»
14 years 9 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»
14 years 9 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...