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» Schaefer's theorem for graphs
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89
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GG
2010
Springer
14 years 9 months ago
Verification of Graph Transformation Systems with Context-Free Specifications
We introduce an analysis method for graph transformation systems which checks that certain forbidden graphs are not reachable from the start graph. These forbidden graphs are speci...
Barbara König, Javier Esparza
68
Voted
DM
2008
97views more  DM 2008»
14 years 9 months ago
On extremal k-outconnected graphs
Let G be a minimally k-connected graph with n nodes and m edges. Mader proved that if n 3k - 2 then m k(n - k), and for n 3k - 1 an equality is possible if, and only if, G is t...
Zeev Nutov
78
Voted
ENDM
2007
111views more  ENDM 2007»
14 years 9 months ago
Claw-free circular-perfect graphs
The circular chromatic number of a graph is a well-studied refinement of the chromatic number. Circular-perfect graphs is a superclass of perfect graphs defined by means of this...
Arnaud Pêcher, Xuding Zhu
105
Voted
STOC
2006
ACM
138views Algorithms» more  STOC 2006»
15 years 9 months ago
The PCP theorem by gap amplification
The PCP theorem [3, 2] says that every language in NP has a witness format that can be checked probabilistically by reading only a constant number of bits from the proof. The cele...
Irit Dinur
JGT
2007
68views more  JGT 2007»
14 years 9 months ago
Forcing highly connected subgraphs
A well-known theorem of Mader [5] states that highly connected subgraphs can be forced in finite graphs by assuming a high minimum degree. Solving a problem of Diestel [2], we ex...
Maya Jakobine Stein