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1
An efficient network synchronization protocol
December 1984
STOC '84: Proceedings of the sixteenth annual ACM symposium on Theory of computing
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2
Bipartite Subgraphs and Quasi-Randomness
June 2004
Graphs and Combinatorics , Volume 20 Issue 2
Publisher: Springer-Verlag
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We say that a family of graphs * is p-quasi-random, 0<p<1, if it shares typical properties of the random graph G(n,p); for a definition, see below. We denote by * the class of all graphs H for which * and ...

3
Payoff-Monotonic Game Dynamics and the Maximum Clique Problem
May 2006
Neural Computation , Volume 18 Issue 5
Publisher: MIT Press
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Evolutionary game-theoretic models and, in particular, the so-called replicator equations have recently proven to be remarkably effective at approximately solving the maximum clique and related problems. The approach is centered around a classic result ...

4
Parity, eulerian subgraphs and the Tutte polynomial
May 2008
Journal of Combinatorial Theory Series B , Volume 98 Issue 3
Publisher: Academic Press, Inc.
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Identities obtained by elementary finite Fourier analysis are used to derive a variety of evaluations of the Tutte polynomial of a graph G at certain points (a,b) where (a-1)(b-1)@?{2,4}. These evaluations are expressed in terms of eulerian subgraphs ...


Keywords: Correlation, Eulerian subgraphs, Fourier transform, Parity, Tutte polynomial, Weight enumerator
5
On a conjecture of Brown concerning accessible sets
April 2005
Journal of Combinatorial Theory Series A , Volume 110 Issue 1
Publisher: Academic Press, Inc.
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In this note we use a sequence constructed by Furstenberg in 1981 to disprove the following conjecture posed by Brown: If a set of positive numbers L is such that for any finite coloring of N there are arbitrarily long monochromatic sequences ...


Keywords: Ramsey theory, arithmetic progressions
6
Note: A generalized enumeration of labeled trees and reverse Prüfer algorithm
October 2007
Journal of Combinatorial Theory Series A , Volume 114 Issue 7
Publisher: Academic Press, Inc.
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A leader of a tree T on [n] is a vertex which has no smaller descendants in T. Gessel and Seo showed that@?T@?T"nu^(^#^o^f^l^e^a^d^e^r^s^i^n^T^)c^(^d^e^g^r^e^e^o^f^1^i^n^T^)=uP"n"-"1(1,u,cu), which is a generalization of Cayley's formula, where T"n is ...


Keywords: Prüfer code, Bijection, Leader, Tree
7
Erratum to "minimal completely separating systems of k-sets"
August 2003
Journal of Combinatorial Theory Series A , Volume 103 Issue 2
Publisher: Academic Press, Inc.
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8
The design and evaluation of parallel algorithms (abstract)
March 1994
CSC '94: Proceedings of the 22nd annual ACM computer science conference on Scaling up : meeting the challenge of complexity in real-world computing applications: meeting the challenge of complexity in real-world computing applications
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9
Symmetric bipartite graphs of prime valency
October 1990
European Journal of Combinatorics , Volume 11 Issue 6
Publisher: Academic Press Ltd.
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10
Telecommunications network design algorithms
August 1993
Telecommunications network design algorithms
Publisher: McGraw-Hill, Inc.
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11
Many distances in planar graphs
January 2006
SODA '06: Proceedings of the seventeenth annual ACM-SIAM symposium on Discrete algorithm
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Let G be a planar graph with n vertices and non-negative edge-lengths. Given a set of k pairs of vertices, we are interested in computing the distance in G between those k pairs of vertices. We describe how this can ...

12
The VLSI Complexity of Selected Graph Problems
March 1984
Journal of the ACM (JACM) , Volume 31 Issue 2
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13
Fault tolerant K-center problems
July 2000
Theoretical Computer Science , Volume 242 Issue 1-2
Publisher: Elsevier Science Publishers Ltd.
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Keywords: K-center, approximation alogorithms, facility location, fault-tolerance
14
Algorithmica: Volume 38 Issue 4
January 2004
Algorithmica
Publisher: Springer-Verlag New York, Inc.
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15
Optimal parametric search on graphs of bounded tree-width
February 1997
Journal of Algorithms , Volume 22 Issue 2
Publisher: Academic Press, Inc.
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16
Vehicle routing problem with elementary shortest path based column generation
October 2006
Computers and Operations Research , Volume 33 Issue 10
Publisher: Elsevier Science Ltd.
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The usual column generation model for a Vehicle Routing Problem involves an elementary shortest-path subproblem. The worst-case complexity of the known algorithms for this problem being too high, the elementary-path constraint is usually relaxed. Indeed, ...


Keywords: branch-and-price, elementary shortest path, vehicle routing
17
Agent-Based Approach to Dynamic Meeting Scheduling Problems
July 2004
AAMAS '04: Proceedings of the Third International Joint Conference on Autonomous Agents and Multiagent Systems - Volume 3 , Volume 3
Publisher: IEEE Computer Society
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Multi-Agent systems are being more and more widely used to address many distributed combinatorial real-world problems. One such problem is meeting scheduling (MS) that is characterized essentially by two features defined from both its inherently distributed ...

18
Proving SAT does not have small circuits with an application to the two queries problem
May 2008
Journal of Computer and System Sciences , Volume 74 Issue 3
Publisher: Academic Press, Inc.
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We show that if SAT does not have small circuits, then there must exist a small number of satisfiable formulas such that every small circuit fails to compute satisfiability correctly on at least one of these formulas. We use this result to show that ...


Keywords: SAT, Small circuits, Two queries
19
Nonrepetitive colorings of graphs
October 2002
Random Structures & Algorithms , Volume 21 Issue 3-4
Publisher: John Wiley & Sons, Inc.
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A sequence a = a1a2. . . . an is said to be nonrepetitive if no two adjacent blocks of a are exactly the same. For instance, the sequence 1232321 contains a repetition 2323, while 123132123213 is ...


Keywords: graph colorings, nonrepetitive sequences
20
The subchromatic number of a graph
September 1989
Discrete Mathematics , Volume 74 Issue 1-2
Publisher: Elsevier Science Publishers B. V.
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