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» On some Properties of DNA Graphs
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JGT
2007
112views more  JGT 2007»
13 years 7 months ago
The 2-dimensional rigidity of certain families of graphs
Laman’s characterization of minimally rigid 2-dimensional generic frameworks gives a matroid structure on the edge set of the underlying graph, as was first pointed out and expl...
Bill Jackson, Brigitte Servatius, Herman Servatius
JCT
2007
96views more  JCT 2007»
13 years 7 months ago
Induced subgraphs of Ramsey graphs with many distinct degrees
An induced subgraph is called homogeneous if it is either a clique or an independent set. Let hom(G) denote the size of the largest homogeneous subgraph of a graph G. In this shor...
Boris Bukh, Benny Sudakov
CORR
2010
Springer
120views Education» more  CORR 2010»
13 years 5 months ago
Typicality Graphs:Large Deviation Analysis
Let X and Y be finite alphabets and PXY a joint distribution over them, with PX and PY representing the marginals. For any > 0, the set of n-length sequences xn and yn that ar...
Ali Nazari, Ramji Venkataramanan, Dinesh Krithivas...
DAM
2006
88views more  DAM 2006»
13 years 8 months ago
NP-completeness results for edge modification problems
The aim of edge modification problems is to change the edge set of a given graph as little as possible in order to satisfy a certain property. Edge modification problems in graphs...
Pablo Burzyn, Flavia Bonomo, Guillermo Durá...
ARSCOM
2007
191views more  ARSCOM 2007»
13 years 8 months ago
Binomial Identities Generated by Counting Spanning Trees
We partition the set of spanning trees contained in the complete graph Kn into spanning trees contained in the complete bipartite graph Ks,t. This relation will show that any prop...
Thomas Dale Porter