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COCO
2007
Springer
87views Algorithms» more  COCO 2007»
15 years 3 months ago
Parity Problems in Planar Graphs
We consider the problem of counting the number of spanning trees in planar graphs. We prove tight bounds on the complexity of the problem, both in general and especially in the mo...
Mark Braverman, Raghav Kulkarni, Sambuddha Roy
LPAR
2004
Springer
15 years 3 months ago
Entanglement - A Measure for the Complexity of Directed Graphs with Applications to Logic and Games
We propose a new parameter for the complexity of finite directed graphs which measures to what extent the cycles of the graph are intertwined. This measure, called entanglement, i...
Dietmar Berwanger, Erich Grädel
DAM
1999
128views more  DAM 1999»
14 years 9 months ago
Graph Classes Between Parity and Distance-hereditary Graphs
Several graph problems (e.g., steiner tree, connected domination, hamiltonian path, and isomorphism problem), which can be solved in polynomial time for distance-hereditary graphs...
Serafino Cicerone, Gabriele Di Stefano
COMBINATORICA
2008
84views more  COMBINATORICA 2008»
14 years 9 months ago
Parity check matrices and product representations of squares
Let NF(n, k, r) denote the maximum number of columns in an n-row matrix with entries in a finite field F in which each column has at most r nonzero entries and every k columns are...
Assaf Naor, Jacques Verstraëte
TCOM
2011
170views more  TCOM 2011»
14 years 4 months ago
On Girth Conditioning for Low-Density Parity-Check Codes
—Low-density parity-check (LDPC) codes are gaining interest for high data rate applications in both terrestrial and spatial communications. They can be designed and studied throu...
Samuele Bandi, Velio Tralli, Andrea Conti, Maddale...