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» Maximum Matchings in Regular Graphs of High Girth
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IMCSIT
2010
13 years 3 months ago
On the implementation of public keys algorithms based on algebraic graphs over finite commutative rings
We will consider balanced directed graphs, i.e., graphs of binary relations, for which the number of inputs and number of outputs are the same for each vertex. The commutative diag...
Michal Klisowski, Vasyl Ustimenko
CORR
2006
Springer
105views Education» more  CORR 2006»
13 years 5 months ago
A Combinatorial Family of Near Regular LDPC Codes
Abstract-- An elementary combinatorial Tanner graph construction for a family of near-regular low density parity check (LDPC) codes achieving high girth is presented. These codes a...
K. Murali Krishnan, Rajdeep Singh, L. Sunil Chandr...
CATS
2008
13 years 6 months ago
Well-covered Graphs and Greedoids
G is a well-covered graph provided all its maximal stable sets are of the same size (Plummer, 1970). S is a local maximum stable set of G, and we denote by S (G), if S is a maxim...
Vadim E. Levit, Eugen Mandrescu
DM
2007
136views more  DM 2007»
13 years 5 months ago
Lower connectivities of regular graphs with small diameter
Krishnamoorthy, Thulasiraman and Swamy [Minimum order graphs with specified diameter, connectivity and regularity, Networks 19 (1989) 25–46] showed that a δ-regular graph with...
Camino Balbuena, Xavier Marcote
DAM
2008
147views more  DAM 2008»
13 years 5 months ago
Efficient edge domination in regular graphs
13 An induced matching of a graph G is a matching having no two edges joined by14 an edge. An efficient edge dominating set of G is an induced matching M such that15 every other ed...
Domingos Moreira Cardoso, J. Orestes Cerdeira, Cha...