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» On the Hardness of Graph Isomorphism
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DAM
2010
86views more  DAM 2010»
13 years 9 months ago
Minimum fill-in and treewidth of split+ke and split+kv graphs
In this paper we investigate how graph problems that are NP-hard in general, but polynomially solvable on split graphs, behave on input graphs that are close to being split. For t...
Federico Mancini
ISSAC
2007
Springer
112views Mathematics» more  ISSAC 2007»
14 years 3 months ago
G-graphs for the cage problem: a new upper bound
Constructing some regular graph with a given girth, a given degree and the fewest possible vertices is a hard problem. This problem is called the cage graph problem and has some l...
Alain Bretto, Luc Gillibert
STOC
2006
ACM
141views Algorithms» more  STOC 2006»
14 years 9 months ago
Zero-knowledge against quantum attacks
It is proved that several interactive proof systems are zero-knowledge against general quantum attacks. This includes the Goldreich?Micali?Wigderson classical zero-knowledge proto...
John Watrous
STACS
2010
Springer
14 years 3 months ago
Finding Induced Subgraphs via Minimal Triangulations
Potential maximal cliques and minimal separators are combinatorial objects which were introduced and studied in the realm of minimal triangulation problems including Minimum Fill-i...
Fedor V. Fomin, Yngve Villanger
GC
2007
Springer
13 years 8 months ago
Rainbows in the Hypercube
Let Qn be a hypercube of dimension n, that is, a graph whose vertices are binary n-tuples and two vertices are adjacent iff the corresponding n-tuples differ in exactly one posit...
Maria Axenovich, Heiko Harborth, Arnfried Kemnitz,...