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The International Colloquium on Mathematics and Computer Science is a biennial event that first took place at the University of Versailles-St-Quentin in 2000 and was acknowledged a success. The second colloquium was held in September 16-19, 2002, again in Versailles its proceedings are gathered in this book. The importance of these regular meetings between researchers from mathematics and from computer science is now unanimously recognized by the two communities. The colloquium offers the opportunity to establish the state of the art and to present new trends, new ideas and new results in the common areas such as analysis of algorithms, trees, combinatorics, optimization, performance evaluation and probabilities.
This series of proceedings is the first one entirely devoted to the connections between mathematics and computer science. Here mathematics and computer science are directly confronted and joined to tackle intricate problems in computer science with deep and innovative mathematical approaches.
The book serves as an outstanding tool and a main information source for a large public in applied mathematics, discrete mathematics and computer science, including researchers, teachers, graduate students and engineers. It provides an overview of the current questions in computer science and the related modern and powerful mathematical methods. The range of applications is very wide and reaches beyond computer science.
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n-Colored Maps and Multilabel n-Colored Treess
Limit Laws for Basic Parameters of Lattice Paths with Unbounded Jumpss
Counting Walks in the Quarter Planes
Bijective Construction of Equivalent Ecosystemss
Random Boundary of a Planar Maps
Enumération des arbres k gonauxs
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Breadth First Search, TriangleFree Graphs and Brownian Motions
Random Planar Lattices and Integrated SuperBrownian Excursions
The Diameter of a LongRange Percolation Graphs
Giant Components for Two Expanding Graph Processess
Coloring Random Graphs — an Algorithmic Perspectives
A Sharp Threshold for a Nonmonotone Digraph Propertys
Approximability of Paths Coloring Problem in Mesh and Torus Networkss
Minimal Spanning Trees for Graphs with Random Edge Lengthss
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Generalized Pattern Matching Statisticss
A Note on Random Suffix Search Treess
On the Profile of Random Forestss
On the Number of Heaps and the Cost of Heap Constructions
A Combinatorial Problem Arising in Information Theory: Precise Minimax Redundancy for Markov Sourcess
Analysis of Quickfind with Small Subfiless
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Distribution of the Size of Simplified or Reduced Treess
Digits and Beyonds
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Growth Rate and Ergodicity Conditions for a Class of Random Treess
Ideals in a Forest, OneWay Infinite Binary Trees and the Contraction Methods
On Random Walks in Random Environment on Trees and Their Relationship with Multiplicative Chaoss
Note on Exact and Asymptotic Distributions of the Parameters of the LoopErased Random Walk on the Complete Graphs
Convergence Rate for Stable Weighted Branching Processess
Reduced Branching Processes in Random Environments
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A Cooperative Approach to Rényi’s Parking Problem on the Circles
On the Noise Sensitivity of Monotone Functionss
Apprentissage de Séquences NonIndépendantes d’Exempless
Entropy Reduction Strategies on Tree Structured Retrieval Spacess
ZeroOne Law Characterizations of ε s
Further Applications of Chebyshev Polynomials in the Derivation of Spanning Tree Formulas for Circulant Graphss
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