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CORR
2010
Springer
115views Education» more  CORR 2010»
15 years 6 months ago
Optimal topological simplification of discrete functions on surfaces
We solve the problem of minimizing the number of critical points among all functions on a surface within a prescribed distance from a given input function. The result is achieved...
Ulrich Bauer, Carsten Lange, Max Wardetzky
CORR
2008
Springer
76views Education» more  CORR 2008»
15 years 6 months ago
Constraint Complexity of Realizations of Linear Codes on Arbitrary Graphs
ABSTRACT. A graphical realization of a linear code C consists of an assignment of the coordinates of C to the vertices of a graph, along with a specification of linear state spaces...
Navin Kashyap
JGAA
2006
127views more  JGAA 2006»
15 years 6 months ago
A New Algorithm for Finding Minimal Cycle-Breaking Sets of Turns in a Graph
We consider the problem of constructing a minimal cycle-breaking set of turns for a given undirected graph. This problem is important for deadlock-free wormhole routing in compute...
Lev B. Levitin, Mark G. Karpovsky, Mehmet Mustafa,...
ICALP
2009
Springer
16 years 6 months ago
Towards Optimal Range Medians
We consider the following problem: given an unsorted array of n elements, and a sequence of intervals in the array, compute the median in each of the subarrays defined by the inter...
Beat Gfeller, Peter Sanders
MFCS
2007
Springer
16 years 4 days ago
Hardness Results for Tournament Isomorphism and Automorphism
A tournament is a graph in which each pair of distinct vertices is connected by exactly one directed edge. Tournaments are an important graph class, for which isomorphism testing ...
Fabian Wagner