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COCOON
2009
Springer
14 years 2 months ago
Strongly Chordal and Chordal Bipartite Graphs Are Sandwich Monotone
A graph class is sandwich monotone if, for every pair of its graphs G1 = (V, E1) and G2 = (V, E2) with E1 ⊂ E2, there is an ordering e1, . . . , ek of the edges in E2 \ E1 such ...
Pinar Heggernes, Federico Mancini, Charis Papadopo...
RSA
2008
103views more  RSA 2008»
13 years 7 months ago
What is the furthest graph from a hereditary property?
For a graph property P, the edit distance of a graph G from P, denoted EP (G), is the minimum number of edge modifications (additions or deletions) one needs to apply to G in orde...
Noga Alon, Uri Stav
COMBINATORICS
2007
99views more  COMBINATORICS 2007»
13 years 7 months ago
The Spectral Radius of Subgraphs of Regular Graphs
Let µ (G) and µmin (G) be the largest and smallest eigenvalues of the adjacency matrix of a graph G. Our main results are: (i) Let G be a regular graph of order n and finite di...
Vladimir Nikiforov
COMBINATORICS
2007
100views more  COMBINATORICS 2007»
13 years 7 months ago
Revisiting Two Classical Results on Graph Spectra
Let µ (G) and µmin (G) be the largest and smallest eigenvalues of the adjacency matrix of a graph G. Our main results are: (i) If H is a proper subgraph of a connected graph G o...
Vladimir Nikiforov
CPM
2010
Springer
145views Combinatorics» more  CPM 2010»
13 years 2 months ago
Succinct Representations of Separable Graphs
Abstract. We consider the problem of highly space-efficient representation of separable graphs while supporting queries in constant time in the RAM with logarithmic word size. In p...
Guy E. Blelloch, Arash Farzan