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» Switching Graphs and Their Complexity
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CORR
2006
Springer
128views Education» more  CORR 2006»
13 years 10 months ago
The Shannon capacity of a graph and the independence numbers of its powers
The independence numbers of powers of graphs have been long studied, under several definitions of graph products, and in particular, under the strong graph product. We show that t...
Noga Alon, Eyal Lubetzky
WG
2009
Springer
14 years 4 months ago
The Parameterized Complexity of Some Minimum Label Problems
We study the parameterized complexity of several minimum label graph problems, in which we are given an undirected graph whose edges are labeled, and a property Π, and we are ask...
Michael R. Fellows, Jiong Guo, Iyad A. Kanj
CORR
2010
Springer
94views Education» more  CORR 2010»
13 years 10 months ago
Complexity dichotomy on partial grid recognition
Deciding whether a graph can be embedded in a grid using only unitlength edges is NP-complete, even when restricted to binary trees. However, it is not difficult to devise a numbe...
Vinícius G. P. de Sá, Guilherme Dias...
MST
2011
231views Hardware» more  MST 2011»
13 years 25 days ago
On the Complexity of Matroid Isomorphism Problem
We study the complexity of testing if two given matroids are isomorphic. The problem is easily seen to be in Σ p 2. In the case of linear matroids, which are represented over pol...
B. V. Raghavendra Rao, Jayalal M. N. Sarma
CSL
2008
Springer
13 years 11 months ago
The Descriptive Complexity of Parity Games
We study the logical definablity of the winning regions of parity games. For games with a bounded number of priorities, it is wellknown that the winning regions are definable in th...
Anuj Dawar, Erich Grädel