Mathieu Dutour Sikiric's Books

Generalizations Of Finite Metrics And Cuts

By: Michel-marie Deza,Mathieu Dutour Sikiric,Elena Deza

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Generalizations Of Finite Metrics And Cuts

By: Michel-marie Deza,Mathieu Dutour Sikiric,Elena Deza

This book introduces oriented version of metrics and cuts and their multidimensional analogues, as well as partial metrics and weighted metrics. It is a follow-up of Geometry of Cuts and Metrics by Deza and Laurent which presents rich theory of classical binary and symmetric objects — metrics and cuts.Many research publications on this subject are devoted to different special aspects of the theory of generalized metrics. However, they are disconnected one from other, often written in different mathematical language, consider the same objects from different points of view without analysis of possible connections, etc. In this book we will construct full theory of main classes of finite generalized metrics and their polyhedral aspects.

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Page Count

318

Publisher

World Scientific

Published Date

ISBN 10

9814740411

ISBN 13

9789814740418

Geometric Structure of Chemistry-Relevant Graphs

Zigzags and Central Circuits

By: Michel-Marie Deza,Mathieu Dutour Sikirić,Mikhail Ivanovitch Shtogrin

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Geometric Structure of Chemistry-Relevant Graphs

Zigzags and Central Circuits

By: Michel-Marie Deza,Mathieu Dutour Sikirić,Mikhail Ivanovitch Shtogrin

The central theme of the present book is zigzags and central-circuits of three- or four-regular plane graphs, which allow a double covering or covering of the edgeset to be obtained. The book presents zigzag and central circuit structures of geometric fullerenes and several other classes of graph of interest in the fields of chemistry and mathematics. It also discusses the symmetries, parameterization and the Goldberg–Coxeter construction for those graphs. It is the first book on this subject, presenting full structure theory of such graphs. While many previous publications only addressed particular questions about selected graphs, this book is based on numerous computations and presents extensive data (tables and figures), as well as algorithmic and computational information. It will be of interest to researchers and students of discrete geometry, mathematical chemistry and combinatorics, as well as to lay mathematicians.

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Page Count

220

Publisher

Springer

Published Date

ISBN 10

8132224493

ISBN 13

9788132224495

Random Sequential Packing Of Cubes

By: Yoshiaki Itoh,Mathieu Dutour Sikiric

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Random Sequential Packing Of Cubes

By: Yoshiaki Itoh,Mathieu Dutour Sikiric

In this volume very simplified models are introduced to understand the random sequential packing models mathematically. The 1-dimensional model is sometimes called the Parking Problem, which is known by the pioneering works by Flory (1939), Renyi (1958), Dvoretzky and Robbins (1962). To obtain a 1-dimensional packing density, distribution of the minimum of gaps, etc., the classical analysis has to be studied. The packing density of the general multi-dimensional random sequential packing of cubes (hypercubes) makes a well-known unsolved problem. The experimental analysis is usually applied to the problem. This book introduces simplified multi-dimensional models of cubes and torus, which keep the character of the original general model, and introduces a combinatorial analysis for combinatorial modelings./a

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Page Count

255

Publisher

World Scientific

Published Date

ISBN 10

9814464783

ISBN 13

9789814464789

Geometric Structure of Chemistry-Relevant Graphs

Zigzags and Central Circuits

By: Michel-Marie Deza,Mathieu Dutour Sikirić,Mikhail Ivanovitch Shtogrin

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Geometric Structure of Chemistry-Relevant Graphs

Zigzags and Central Circuits

By: Michel-Marie Deza,Mathieu Dutour Sikirić,Mikhail Ivanovitch Shtogrin

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Page Count

220

Publisher

Springer

Published Date

ISBN 10

8132224493

ISBN 13

9788132224495

Generalizations Of Finite Metrics And Cuts

By: Michel-marie Deza,Mathieu Dutour Sikiric,Elena Deza

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Generalizations Of Finite Metrics And Cuts

By: Michel-marie Deza,Mathieu Dutour Sikiric,Elena Deza

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Page Count

318

Publisher

World Scientific

Published Date

ISBN 10

9814740411

ISBN 13

9789814740418

Random Sequential Packing Of Cubes

By: Yoshiaki Itoh,Mathieu Dutour Sikiric

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Random Sequential Packing Of Cubes

By: Yoshiaki Itoh,Mathieu Dutour Sikiric

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Solve jigsaw puzzle

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Page Count

255

Publisher

World Scientific

Published Date

ISBN 10

9814464783

ISBN 13

9789814464789

Random Sequential Packing of Cubes

By: Mathieu Dutour Sikiri?,Yoshiaki Itoh

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Random Sequential Packing of Cubes

By: Mathieu Dutour Sikiri?,Yoshiaki Itoh

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Page Count

255

Publisher

World Scientific

Published Date

ISBN 10

9814307831

ISBN 13

9789814307833

Generalizations of Finite Metrics and Cuts

By: Elena Deza,M. Deza,Elena Mitchel,Mathieu Dutour Sikirić

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Generalizations of Finite Metrics and Cuts

By: Elena Deza,M. Deza,Elena Mitchel,Mathieu Dutour Sikirić

This book introduces oriented version of metrics and cuts and their multidimensional analogues, as well as partial metrics and weighted metrics. It is a follow-up of Geometry of Cuts and Metrics by Deza and Laurent which presents rich theory of classical binary and symmetric objects — metrics and cuts. Many research publications on this subject are devoted to different special aspects of the theory of generalized metrics. However, they are disconnected one from other, often written in different mathematical language, consider the same objects from different points of view without analysis of possible connections, etc. In this book we will construct full theory of main classes of finite generalized metrics and their polyhedral aspects."--

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Page Count

303

Published Date

ISBN 10

9814740403

ISBN 13

9789814740401

Book's by Mathieu Dutour Sikiric

Generalizations Of Finite Metrics And Cuts

Generalizations Of Finite Metrics And Cuts

Geometric Structure of Chemistry-Relevant Graphs

Geometric Structure of Chemistry-Relevant Graphs

Random Sequential Packing Of Cubes

Random Sequential Packing Of Cubes

Geometric Structure of Chemistry-Relevant Graphs

Geometric Structure of Chemistry-Relevant Graphs

Generalizations Of Finite Metrics And Cuts

Generalizations Of Finite Metrics And Cuts

Random Sequential Packing Of Cubes

Random Sequential Packing Of Cubes

Random Sequential Packing of Cubes

Random Sequential Packing of Cubes

Generalizations of Finite Metrics and Cuts

Generalizations of Finite Metrics and Cuts

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