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» (k, )-Distance-Hereditary Graphs
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FOCS
2002
IEEE
15 years 2 months ago
Graph Isomorphism is in SPP
We show that Graph Isomorphism is in the complexity class SPP, and hence it is in ⊕P (in fact, it is in ModkP for each k ≥ 2). We derive this result as a corollary of a more g...
Vikraman Arvind, Piyush P. Kurur
DM
2006
79views more  DM 2006»
14 years 10 months ago
Conditional colorings of graphs
For an integer r > 0, a conditional (k, r)-coloring of a graph G is a proper k-coloring of the vertices of G such that every vertex of degree at least r in G will be adjacent t...
Hong-Jian Lai, Jianliang Lin, Bruce Montgomery, Ta...
JCT
2008
70views more  JCT 2008»
14 years 10 months ago
Connectivity keeping edges in graphs with large minimum degree
The old well-known result of Chartrand, Kaugars and Lick [1] says that every k-connected graph G with minimum degree at least 3k/2 has a vertex v such that G - v is still k-connec...
Shinya Fujita, Ken-ichi Kawarabayashi
VIZSEC
2005
Springer
15 years 3 months ago
Multiple Coordinated Views for Network Attack Graphs
While efficient graph-based representations have been developed for modeling combinations of low-level network attacks, relatively little attention has been paid to effective tech...
Steven Noel, Michael Jacobs, Pramod Kalapa, Sushil...
CCS
2006
ACM
15 years 1 months ago
A scalable approach to attack graph generation
Attack graphs are important tools for analyzing security vulnerabilities in enterprise networks. Previous work on attack graphs has not provided an account of the scalability of t...
Xinming Ou, Wayne F. Boyer, Miles A. McQueen