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DAM
2010
167views more  DAM 2010»
13 years 5 months ago
A new characterization of P6-free graphs
We study P6-free graphs, i.e., graphs that do not contain an induced path on six vertices. Our main result is a new characterization of this graph class: a graph G is P6-free if an...
Pim van 't Hof, Daniël Paulusma
JCT
2010
110views more  JCT 2010»
13 years 3 months ago
Pancyclicity of Hamiltonian and highly connected graphs
A graph G on n vertices is Hamiltonian if it contains a cycle of length n and pancyclic if it contains cycles of length for all 3 ≤ ≤ n. Write α(G) for the independence numbe...
Peter Keevash, Benny Sudakov
FOCS
2008
IEEE
13 years 12 months ago
Algorithms for Single-Source Vertex Connectivity
In the Survivable Network Design Problem (SNDP) the goal is to find a minimum cost subset of edges that satisfies a given set of pairwise connectivity requirements among the ver...
Julia Chuzhoy, Sanjeev Khanna
EJC
2008
13 years 5 months ago
Expansion properties of a random regular graph after random vertex deletions
We investigate the following vertex percolation process. Starting with a random regular graph of constant degree, delete each vertex independently with probability p, where p = n-...
Catherine S. Greenhill, Fred B. Holt, Nicholas C. ...
IPL
2007
87views more  IPL 2007»
13 years 5 months ago
The forwarding indices of augmented cubes
For a given connected graph G of order n, a routing R in G is a set of n(n − 1) elementary paths specified for every ordered pair of vertices in G. The vertex (resp. edge) forw...
Min Xu, Jun-Ming Xu