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EJC
2008
13 years 5 months ago
Grad and classes with bounded expansion II. Algorithmic aspects
Abstract. Classes of graphs with bounded expansion are a generalization of both proper minor closed classes and degree bounded classes. Such classes are based on a new invariant, t...
Jaroslav Nesetril, Patrice Ossona de Mendez
DAM
2008
93views more  DAM 2008»
13 years 5 months ago
Planar graph bipartization in linear time
For each constant k, we present a linear time algorithm that, given a planar graph G, either finds a minimum odd cycle vertex transversal in G or guarantees that there is no transv...
Samuel Fiorini, Nadia Hardy, Bruce A. Reed, Adrian...
DCG
2010
73views more  DCG 2010»
13 years 5 months ago
Optimal Angle Bounds for Quadrilateral Meshes
We show that any simple planar n-gon can be meshed in linear time by O(n) quadrilaterals with all new angles bounded between 60 and 120 degrees. 1991 Mathematics Subject Classifica...
Christopher J. Bishop
CORR
2008
Springer
111views Education» more  CORR 2008»
13 years 5 months ago
Linear-Time Algorithms for Geometric Graphs with Sublinearly Many Crossings
We provide linear-time algorithms for geometric graphs with sublinearly many crossings. That is, we provide algorithms running in O(n) time on connected geometric graphs having n ...
David Eppstein, Michael T. Goodrich, Darren Strash
CORR
2008
Springer
138views Education» more  CORR 2008»
13 years 5 months ago
Efficient Implementation of the Generalized Tunstall Code Generation Algorithm
A method is presented for constructing a Tunstall code that is linear time in the number of output items. This is an improvement on the state of the art for non-Bernoulli sources, ...
Michael B. Baer
CORR
2008
Springer
150views Education» more  CORR 2008»
13 years 5 months ago
A Dynamic Programming Framework for Combinatorial Optimization Problems on Graphs with Bounded Pathwidth
In this paper we present an algorithmic framework for solving a class of combinatorial optimization problems on graphs with bounded pathwidth. The problems are NP-hard in general, ...
Mugurel Ionut Andreica
CORR
2008
Springer
83views Education» more  CORR 2008»
13 years 5 months ago
Alternating Hierarchies for Time-Space Tradeoffs
Nepomnjascii's Theorem states that for all 0 < 1 and k > 0 the class of languages recognized in nondeterministic time nk and space n , NTISP[nk , n ], is contained in ...
Chris Pollett, Eric Miles
CORR
2010
Springer
149views Education» more  CORR 2010»
13 years 5 months ago
Lower Bounds for the Complexity of Monadic Second-Order Logic
Courcelle's famous theorem from 1990 states that any property of graphs definable in monadic second-order logic (MSO2) can be decided in linear time on any class of graphs of ...
Stephan Kreutzer, Siamak Tazari
CATS
2007
13 years 6 months ago
A Linear Time Algorithm for Pricing European Sequential Barrier Options
Financial derivatives are contracts concerning rights and obligations to engage in future transactions on some underlying financial instrument. A major concern in financial mark...
Peng Gao, Ron van der Meyden
ICALP
2010
Springer
13 years 7 months ago
Efficient Evaluation of Nondeterministic Automata Using Factorization Forests
In the first part of the paper, we propose an algorithm which inputs an NFA A and a word a1
Mikolaj Bojanczyk, Pawel Parys