On Sets and Graphs

Perspectives on Logic and Combinatorics

Author: Eugenio G. Omodeo,Alberto Policriti,Alexandru I. Tomescu

Publisher: Springer

ISBN: 3319549812

Category: Computers

Page: 275

View: 1562

This treatise presents an integrated perspective on the interplay of set theory and graph theory, providing an extensive selection of examples that highlight how methods from one theory can be used to better solve problems originated in the other. Features: explores the interrelationships between sets and graphs and their applications to finite combinatorics; introduces the fundamental graph-theoretical notions from the standpoint of both set theory and dyadic logic, and presents a discussion on set universes; explains how sets can conveniently model graphs, discussing set graphs and set-theoretic representations of claw-free graphs; investigates when it is convenient to represent sets by graphs, covering counting and encoding problems, the random generation of sets, and the analysis of infinite sets; presents excerpts of formal proofs concerning graphs, whose correctness was verified by means of an automated proof-assistant; contains numerous exercises, examples, definitions, problems and insight panels.
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Computability and Models

Perspectives East and West

Author: Barry S. Cooper,Sergei S. Goncharov

Publisher: Springer Science & Business Media

ISBN: 9780306474002

Category: Computers

Page: 375

View: 7883

There are few notions as fundamental to contemporary science as those of computability and modelling. Computability and Models attempts to make some of the exciting and important new research developments in this area accessible to a wider readership. Written by international leaders drawn from major research centres both East and West, this book is an essential addition to scientific libraries serving both specialist and the interested non-specialist reader.
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Combinatorics, Computability and Logic

Proceedings of the Third International Conference on Combinatorics, Computability and Logic, (DMTCS’01)

Author: C.S. Calude,M.J. Dinneen,S. Sburlan

Publisher: Springer Science & Business Media

ISBN: 1447107179

Category: Mathematics

Page: 251

View: 2261

This volume contains the papers presented at the Third Discrete Mathematics and Theoretical Computer Science Conference (DMTCS1), which was held at 'Ovidius'University Constantza, Romania in July 2001. The conference was open to all areas of discrete mathematics and theoretical computer science, and the papers contained within this volume cover topics such as: abstract data types and specifications; algorithms and data structures; automata and formal languages; computability, complexity and constructive mathematics; discrete mathematics, combinatorial computing and category theory; logic, nonmonotonic logic and hybrid systems; molecular computing.
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Graphs for Pattern Recognition

Infeasible Systems of Linear Inequalities

Author: Damir Gainanov

Publisher: Walter de Gruyter GmbH & Co KG

ISBN: 3110481065

Category: Mathematics

Page: 158

View: 9284

This monograph deals with mathematical constructions that are foundational in such an important area of data mining as pattern recognition. By using combinatorial and graph theoretic techniques, a closer look is taken at infeasible systems of linear inequalities, whose generalized solutions act as building blocks of geometric decision rules for pattern recognition. Infeasible systems of linear inequalities prove to be a key object in pattern recognition problems described in geometric terms thanks to the committee method. Such infeasible systems of inequalities represent an important special subclass of infeasible systems of constraints with a monotonicity property – systems whose multi-indices of feasible subsystems form abstract simplicial complexes (independence systems), which are fundamental objects of combinatorial topology. The methods of data mining and machine learning discussed in this monograph form the foundation of technologies like big data and deep learning, which play a growing role in many areas of human-technology interaction and help to find solutions, better solutions and excellent solutions. Contents: Preface Pattern recognition, infeasible systems of linear inequalities, and graphs Infeasible monotone systems of constraints Complexes, (hyper)graphs, and inequality systems Polytopes, positive bases, and inequality systems Monotone Boolean functions, complexes, graphs, and inequality systems Inequality systems, committees, (hyper)graphs, and alternative covers Bibliography List of notation Index
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ECAI 2016

22nd European Conference on Artificial Intelligence, 29 August - 2 September 2016, The Hague, The Netherlands - Including Prestigious Applications of Artificial Intelligence (PAIS 2016)

Author: G.A. Kaminka,M. Fox,P. Bouquet

Publisher: IOS Press

ISBN: 1614996725

Category: Computers

Page: 1860

View: 1887

Artificial Intelligence continues to be one of the most exciting and fast-developing fields of computer science. This book presents the 177 long papers and 123 short papers accepted for ECAI 2016, the latest edition of the biennial European Conference on Artificial Intelligence, Europe’s premier venue for presenting scientific results in AI. The conference was held in The Hague, the Netherlands, from August 29 to September 2, 2016. ECAI 2016 also incorporated the conference on Prestigious Applications of Intelligent Systems (PAIS) 2016, and the Starting AI Researcher Symposium (STAIRS). The papers from PAIS are included in this volume; the papers from STAIRS are published in a separate volume in the Frontiers in Artificial Intelligence and Applications (FAIA) series. Organized by the European Association for Artificial Intelligence (EurAI) and the Benelux Association for Artificial Intelligence (BNVKI), the ECAI conference provides an opportunity for researchers to present and hear about the very best research in contemporary AI. This proceedings will be of interest to all those seeking an overview of the very latest innovations and developments in this field.
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New Perspectives in Algebraic Combinatorics

Author: Louis J. Billera

Publisher: Cambridge University Press

ISBN: 9780521770873

Category: Mathematics

Page: 345

View: 6452

2000 text containing expository contributions by respected researchers on the connections between algebraic geometry, topology, commutative algebra, representation theory, and convex geometry.
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Finite and Algorithmic Model Theory

Author: Javier Esparza,Christian Michaux,Charles Steinhorn

Publisher: Cambridge University Press

ISBN: 0521718201

Category: Computers

Page: 341

View: 5095

Surveys of current research in logical aspects of computer science that apply finite and infinite model-theoretic methods.
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Choice

A Classified Cumulation : Volumes 1-10, March 1964--February 1974

Author: Richard K. Gardner,Phyllis Grumm

Publisher: N.A

ISBN: N.A

Category: Best books

Page: N.A

View: 9835

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Parameterized and Exact Computation

9th International Symposium, IPEC 2014, Wroclaw, Poland, September 10-12, 2014. Revised Selected Papers

Author: Marek Cygan,Pinar Heggernes

Publisher: Springer

ISBN: 3319135244

Category: Computers

Page: 343

View: 1528

This book constitutes the thoroughly refereed post-conference proceedings of the 9th International Symposium on Parameterized and Exact Computation, IPEC 2014, in Wroclaw, Poland, in September 2014. The 27 revised full papers presented together with one invited paper were carefully reviewed and selected from 42 submissions. The topics addressed cover research in all aspects of parameterized/exact algorithms and complexity including but are not limited to new techniques for the design and analysis of parameterized and exact algorithms, fixed-parameter tractability results; parameterized complexity theory, relationship between parameterized complexity and traditional complexity classifications; applications of parameterized and exact exponential-time computation; and implementation issues of parameterized and exact exponential-time algorithms.
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Logical and Relational Learning

Author: Luc De Raedt

Publisher: Springer Science & Business Media

ISBN: 3540200401

Category: Computers

Page: 387

View: 5527

This first textbook on multi-relational data mining and inductive logic programming provides a complete overview of the field. It is self-contained and easily accessible for graduate students and practitioners of data mining and machine learning.
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Simple Games

Desirability Relations, Trading, Pseudoweightings

Author: Alan D. Taylor,William S. Zwicker,William Zwicker

Publisher: Princeton University Press

ISBN: 9780691001203

Category: Mathematics

Page: 246

View: 3792

Introductory material receives a fresh treatment, with an emphasis on Boolean subgames and the Rudin-Keisler order as unifying concepts. Advanced material focuses on the surprisingly wide variety of properties related to the weightedness of a game."--BOOK JACKET.
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The Nature of Computation: Logic, Algorithms, Applications

9th Conference on Computability in Europe, CiE 2013, Milan, Italy, July 1-5, 2013, Proceedings

Author: Paola Bonizzoni,Vasco Brattka,Benedikt Löwe

Publisher: Springer

ISBN: 3642390536

Category: Computers

Page: 446

View: 4293

This book constitutes the refereed proceedings of the 9th Conference on Computability in Europe, CiE 2013, held in Milan, Italy, in July 2013. The 48 revised papers presented together with 1 invited lecture and 2 tutorials were carefully reviewed and selected with an acceptance rate of under 31,7%. Both the conference series and the association promote the development of computability-related science, ranging over mathematics, computer science and applications in various natural and engineering sciences such as physics and biology, and also including the promotion of related non-scientific fields such as philosophy and history of computing.
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Search Theory

A Game Theoretic Perspective

Author: Steve Alpern,Robbert Fokkink,Leszek Gąsieniec,Roy Lindelauf,V.S. Subrahmanian

Publisher: Springer Science & Business Media

ISBN: 1461468256

Category: Computers

Page: 303

View: 5069

Search games and rendezvous problems have received growing attention in computer science within the past few years. Rendezvous problems emerge naturally, for instance, to optimize performance and convergence of mobile robots. This gives a new algorithmic point of view to the theory. Furthermore, modern topics such as the spreading of gossip or disease in social networks have lead to new challenging problems in search and rendezvous. Search Theory: A Game Theoretic Perspective introduces the first integrated approach to Search and Rendezvous from the perspectives of biologists, computer scientists and mathematicians. This contributed volume covers a wide range of topics including rendezvous problems and solutions, rendezvous on graphs, search games on biology, mobility in governed social networks, search and security, and more. Most chapters also include case studies or a survey, in addition to a chapter on the future direction of Search and Rendezvous research. This book targets researchers and practitioners working in computer science, mathematics and biology as a reference book. Advanced level students focused on these fields will also find this book valuable as a secondary text book or reference.
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Trends in Commutative Algebra

Author: Luchezar L. Avramov

Publisher: Cambridge University Press

ISBN: 0521831954

Category: Mathematics

Page: 254

View: 3248

In 2002, an introductory workshop was held at the Mathematical Sciences Research Institute in Berkeley to survey some of the many directions of the commutative algebra field. Six principal speakers each gave three lectures, accompanied by a help session, describing the interaction of commutative algebra with other areas of mathematics for a broad audience of graduate students and researchers. This book is based on those lectures, together with papers from contributing researchers. David Benson and Srikanth Iyengar present an introduction to the uses and concepts of commutative algebra in the cohomology of groups. Mark Haiman considers the commutative algebra of n points in the plane. Ezra Miller presents an introduction to the Hilbert scheme of points to complement Professor Haiman's paper. Further contributors include David Eisenbud and Jessica Sidman; Melvin Hochster; Graham Leuschke; Rob Lazarsfeld and Manuel Blickle; Bernard Teissier; and Ana Bravo.
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Principles and Practice of Constraint Programming - CP 2000

6th International Conference, CP 2000 Singapore, September 18-21, 2000 Proceedings

Author: Rina Dechter

Publisher: Springer

ISBN: N.A

Category: Constraint programming (Computer science)

Page: 556

View: 1968

This volume constitutes the refereed proceedings of the 6th International Conference on Principles and Practice of Constraint Programming, CP 2000, held in Singapore in September 2000. The 31 revised full papers and 13 posters presented together with three invited contributions were carefully reviewed and selected from 101 submissions. All current issues of constraint processing, ranging from theoretical and foundational issues to applications in various fields are addressed.
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Lectures on Discrete Mathematics for Computer Science

Author: Bakhadyr Khoussainov,Nodira Khoussainova

Publisher: World Scientific Publishing Company

ISBN: 9813108126

Category: Mathematics

Page: 364

View: 7426

This textbook presents fundamental topics in discrete mathematics introduced from the perspectives of a pure mathematician and an applied computer scientist. The synergy between the two complementary perspectives is seen throughout the book; key concepts are motivated and explained through real-world examples, and yet are still formalized with mathematical rigor. The book is an excellent introduction to discrete mathematics for computer science, software engineering, and mathematics students. The first author is a leading mathematician in the area of logic, computability, and theoretical computer science, with more than 25 years of teaching and research experience. The second author is a computer science PhD student at the University of Washington specializing in database systems. The father-and-daughter team merges two different views to create a unified book for students interested in learning discrete mathematics, the connections between discrete mathematics and computer science, and the mathematical foundations of computer science. Readers will learn how to formally define abstract concepts, reason about objects (such as programs, graphs and numbers), investigate properties of algorithms, and prove their correctness. The textbook studies several well-known algorithmic problems including the path problem for graphs and finding the greatest common divisor, inductive definitions, proofs of correctness of algorithms via loop invariants and induction, the basics of formal methods such as propositional logic, finite state machines, counting, probability, as well as the foundations of databases such as relational calculus.
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