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» On the Complexity of Matroid Isomorphism Problem
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FOCS
2002
IEEE
14 years 1 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
STOC
2009
ACM
163views Algorithms» more  STOC 2009»
14 years 9 months ago
Non-monotone submodular maximization under matroid and knapsack constraints
Submodular function maximization is a central problem in combinatorial optimization, generalizing many important problems including Max Cut in directed/undirected graphs and in hy...
Jon Lee, Vahab S. Mirrokni, Viswanath Nagarajan, M...
CPM
2000
Springer
136views Combinatorics» more  CPM 2000»
14 years 27 days ago
Approximating the Maximum Isomorphic Agreement Subtree Is Hard
The Maximum Isomorphic Agreement Subtree (MIT) problem is one of the simplest versions of the Maximum Interval Weight Agreement Subtree method (MIWT) which is used to compare phyl...
Paola Bonizzoni, Gianluca Della Vedova, Giancarlo ...
TIT
2008
147views more  TIT 2008»
13 years 8 months ago
On Codes, Matroids, and Secure Multiparty Computation From Linear Secret-Sharing Schemes
Error-correcting codes and matroids have been widely used in the study of ordinary secret sharing schemes. In this paper, the connections between codes, matroids, and a special cla...
Ronald Cramer, Vanesa Daza, Ignacio Gracia, Jorge ...
ECCC
2010
117views more  ECCC 2010»
13 years 7 months ago
Nearly Tight Bounds for Testing Function Isomorphism
We study the problem of testing isomorphism (equivalence up to relabelling of the variables) of two Boolean functions f, g : {0, 1}n → {0, 1}. Our main focus is on the most stud...
Sourav Chakraborty, David García-Soriano, A...