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SODA
2004
ACM
128views Algorithms» more  SODA 2004»
13 years 5 months ago
Equivalence of local treewidth and linear local treewidth and its algorithmic applications
We solve an open problem posed by Eppstein in 1995 [14, 15] and re-enforced by Grohe [16, 17] concerning locally bounded treewidth in minor-closed families of graphs. A graph has ...
Erik D. Demaine, Mohammad Taghi Hajiaghayi
DAM
2007
111views more  DAM 2007»
13 years 4 months ago
Vertex-minor reductions can simulate edge contractions
We prove that local complementation and vertex deletion, operations from which vertexminors are defined, can simulate edge contractions. As an application, we prove that the rank...
Mamadou Moustapha Kanté
CORR
2007
Springer
60views Education» more  CORR 2007»
13 years 4 months ago
On Minimal Tree Realizations of Linear Codes
A tree decomposition of the coordinates of a code is a mapping from the coordinate set to the set of vertices of a tree. A tree decomposition can be extended to a tree realization,...
Navin Kashyap
CORR
2008
Springer
76views Education» more  CORR 2008»
13 years 4 months ago
Constraint Complexity of Realizations of Linear Codes on Arbitrary Graphs
ABSTRACT. A graphical realization of a linear code C consists of an assignment of the coordinates of C to the vertices of a graph, along with a specification of linear state spaces...
Navin Kashyap
LATA
2009
Springer
13 years 11 months ago
Monadic Second-Order Logic for Graphs: Algorithmic and Language Theoretical Applications
This tutorial will present an overview of the use of Monadic Second-Order Logic to describe sets of finite graphs and graph transformations, in relation with the notions of tree-w...
Bruno Courcelle