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1. |
Record Nr. |
UNINA9910830369903321 |
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Autore |
Smimov Boris M |
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Titolo |
Cluster processes in gases and plasmas [[electronic resource] /] / Boris M. Smimov |
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Pubbl/distr/stampa |
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Weinheim, : Wiley-VCH Verlag GmbH, c2010 |
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ISBN |
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1-282-47227-5 |
9786612472275 |
3-527-62866-5 |
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Descrizione fisica |
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1 online resource (445 p.) |
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Classificazione |
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Disciplina |
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Soggetti |
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Gases |
Plasma (Ionized gases) |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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Cluster Processes in Gases and Plasmas; Contents; Preface; 1 Introduction; Part I Cluster Properties and Cluster Processes; 2 Fundamentals of Large Clusters; 2.1 Models for Large Clusters and Processes with Their Participation; 2.2 Stability of Charged Metal Clusters; 2.3 Macroscopic Solid Particles with a Pairwise Interaction of Atoms; 2.4 Macroscopic Solid Surfaces; 2.5 Thermodynamics of Large Liquid Clusters in Parent Vapor; 3 Structures of Solid Clusters with Pairwise Atomic Interaction; 3.1 Clusters of Close-Packed Structures; 3.2 Icosahedral Cluster Structures |
3.3 Competition between Cluster Structures4 Elementary Processes and Processes in Gases Involving Clusters; 4.1 Cluster Collision Processes; 4.2 Attachment of Atoms to Clusters and Cluster Evaporation; 4.3 Cluster Heat Processes in Gases; 4.4 Combustion and Catalytic Processes in Gases Involving Clusters; 5 Clusters in External Fields; 5.1 Electric Properties of Large Clusters; 5.2 Radiative Processes Involving Small Particles; 5.3 Resonance Absorption of Metal Clusters; 5.4 Radiative Processes in the Heat Balance and Relaxation of Clusters; 5.5 Hot Clusters as Light Sources |
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Part II Cluster Processes in Gases6 Cluster Transport in Gases and Diffusion-Limited Association of Clusters; 6.1 Transport of Large Clusters in Gases; 6.2 Dynamics of Cluster Motion in Gases; 6.3 Cluster Motion in Gas Flows; 6.4 Pairwise Association of Clusters Limited by Motion in a Gas; 7 Charging of Clusters in Ionized Gas; 7.1 Attachment of Ions to Clusters in Dense Gas; 7.2 Field of a Charged Cluster in Dense Ionized Gas; 7.3 Attachment of Ions to Clusters in Rare Gas; 7.4 Kinetics of Cluster Charging in Ionized Gas; 8 Ionization Equilibrium of Clusters in a Gas |
8.1 Ionization Equilibrium for Large Metal Clusters8.2 Electron Thermoemission of Metal Clusters; 8.3 Ionization Equilibrium for Large Dielectric Clusters; 9 Kinetics of Cluster Growth; 9.1 Cluster Growth Involving Free Atoms; 9.2 Kinetics of Cluster Coagulation; 9.3 Cluster Growth During Gas Expansion in a Vacuum; 9.4 Cluster Growth through Coalescence; 9.5 Heat Regime of Cluster Growth; 9.6 Cluster Growth in a Hot Gas with Metal-Containing Molecules; Part III Complex Plasma; 10 Dusty Plasma; 10.1 Particles in the Positive Column of Glow Discharge; 10.2 Particles in Traps of Gas Discharge |
10.3 Structures of Particles in Dusty Plasma11 Aerosol Plasma; 11.1 Growth and Charging of Aerosol Particles in an External Electric Field; 11.2 Electrical Processes in Aerosol Plasma; 11.3 Growth of Fractal Structures Involving Solid Clusters; 12 Cluster Plasma; 12.1 Clusters in a Dense Arc Plasma; 12.2 Laser Generation of Metal Clusters; 12.3 Generation of Clusters from a Metal Surface; 12.4 Generation of Metal Clusters in Magnetron Discharge; 12.5 Cluster Flow through an Exit Orifice; 12.6 Instability of Cluster Plasma; 13 Conclusion |
Appendix A Mechanical and Electrical Parameters of Particles with Ellipsoidal and Similar Shapes |
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Sommario/riassunto |
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This reference on cluster physics in materials science draws upon the author's unrivalled experience in plasma science. He covers in detail electromagnetic effects, cluster motion and growth, as well as aerosols, providing the knowledge instrumental for an understanding of nanostructure formation.Around 400 case studies enable readers to directly relate the methods to their own individual tasks or projects. |
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2. |
Record Nr. |
UNINA9910954453803321 |
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Titolo |
Graph edge coloring : Vizing's theorem and Goldberg's conjecture / / Michael Stiebitz ... [et al.] |
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Pubbl/distr/stampa |
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Hoboken, N.J., : Wiley, 2012 |
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ISBN |
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9786613621443 |
9781118205594 |
1118205596 |
9781280591617 |
1280591617 |
9781118205563 |
1118205561 |
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Edizione |
[1st ed.] |
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Descrizione fisica |
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1 online resource (339 p.) |
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Collana |
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Wiley series in discrete mathematics and optimization |
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Classificazione |
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Altri autori (Persone) |
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Disciplina |
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Soggetti |
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Graph coloring |
Graph theory |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references and indexes. |
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Nota di contenuto |
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Graph Edge Coloring: Vizing's Theorem and Goldberg's Conjecture; CONTENTS; Preface; 1 Introduction; 1.1 Graphs; 1.2 Coloring Preliminaries; 1.3 Critical Graphs; 1.4 Lower Bounds and Elementary Graphs; 1.5 Upper Bounds and Coloring Algorithms; 1.6 Notes; 2 Vizing Fans; 2.1 The Fan Equation and the Classical Bounds; 2.2 Adjacency Lemmas; 2.3 The Second Fan Equation; 2.4 The Double Fan; 2.5 The Fan Number; 2.6 Notes; 3 Kierstead Paths; 3.1 Kierstead's Method; 3.2 Short Kierstead's Paths; 3.3 Notes; 4 Simple Graphs and Line Graphs; 4.1 Class One and Class Two Graphs |
4.2 Graphs whose Core has Maximum Degree Two4.3 Simple Overfull Graphs; 4.4 Adjacency Lemmas for Critical Class Two Graphs; 4.5 Average Degree of Critical Class Two Graphs; 4.6 Independent Vertices in Critical Class Two Graphs; 4.7 Constructions of Critical Class Two Graphs; 4.8 Hadwiger's Conjecture for Line Graphs; 4.9 Simple Graphs on Surfaces; 4.10 Notes; 5 Tashkinov Trees; 5.1 Tashkinov's Method; 5.2 Extended Tashkinov Trees; 5.3 Asymptotic Bounds; 5.4 Tashkinov's |
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Coloring Algorithm; 5.5 Polynomial Time Algorithms; 5.6 Notes; 6 Goldberg's Conjecture |
6.1 Density and Fractional Chromatic Index6.2 Balanced Tashkinov Trees; 6.3 Obstructions; 6.4 Approximation Algorithms; 6.5 Goldberg's Conjecture for Small Graphs; 6.6 Another Classification Problem for Graphs; 6.7 Notes; 7 Extreme Graphs; 7.1 Shannon's Bound and Ring Graphs; 7.2 Vizing's Bound and Extreme Graphs; 7.3 Extreme Graphs and Elementary Graphs; 7.4 Upper Bounds for χ' Depending on Δ and μ; 7.5 Notes; 8 Generalized Edge Colorings of Graphs; 8.1 Equitable and Balanced Edge Colorings; 8.2 Full Edge Colorings and the Cover Index; 8.3 Edge Colorings of Weighted Graphs |
8.4 The Fan Equation for the Chromatic Index χ'f8.5 Decomposing Graphs into Simple Graphs; 8.6 Notes; 9 Twenty Pretty Edge Coloring Conjectures; Appendix A: Vizing's Two Fundamental Papers; A.1 On an Estimate of the Chromatic Class of a p-Graph; References; A.2 Critical Graphs with a Given Chromatic Class; References; Appendix B: Fractional Edge Colorings; B.1 The Fractional Chromatic Index; B.2 The Matching Polytope; B.3 A Formula for χ'f*; References; Symbol Index; Name Index; Subject Index |
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Sommario/riassunto |
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"Written by world authorities on graph theory, this book features many new advances and applications in graph edge coloring, describes how the results are interconnected, and provides historial context throughout. Chapter coverage includes an introduction to coloring preliminaries and lower and upper bounds; the Vizing fan; the Kierstead path; simple graphs and line graphs of multigraphs; the Tashkinov tree; Goldberg's conjecture; extreme graphs; generalized edge coloring; and open problems. It serves as a reference for researchers interested in discrete mathematics, graph theory, operations research, theoretical computer science, and combinatorial optimization, as well as a graduate-level course book for students of mathematics, optimization, and computer science"-- |
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