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 #  AuthorTitleAccn#YearItem Type Claims
1 Squartini, Tiziano Maximum-Entropy Networks I09907 2017 eBook  
2 Cozzo, Emanuele Multiplex Networks I09825 2018 eBook  
3 Borinsky, Michael Graphs in Perturbation Theory I09152 2018 eBook  
4 Mugnolo, Delio Semigroup Methods for Evolution Equations on Networks I07822 2014 eBook  
5 Gregory Berkolaiko Introduction to quantum graphs 026068 2013 Book  
6 H. S. M. Coxeter Beauty of geometry: Twelve Essays 025993 1968 Book  
7 Martin Aigner Proofs from the book 023028 1998 Book  
8 Alain Barrat Dynamical processes on complex networks 022355 2008 Book  
9 W. D. Wallis Beginner's guide to finite mathematics : For business, managment, and the social sciences 020188 2004 Book  
10 Gary Chartrand Introductory graph theory 019849 1984 Book  
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TitleMaximum-Entropy Networks : Pattern Detection, Network Reconstruction and Graph Combinatorics
Author(s)Squartini, Tiziano;Garlaschelli, Diego
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2017.
DescriptionXII, 116 p. 34 illus., 31 illus. in color : online resource
Abstract NoteThis book is an introduction to maximum-entropy models of random graphs with given topological properties and their applications. Its original contribution is the reformulation of many seemingly different problems in the study of both real networks and graph theory within the unified framework of maximum entropy. Particular emphasis is put on the detection of structural patterns in real networks, on the reconstruction of the properties of networks from partial information, and on the enumeration and sampling of graphs with given properties.?? After a first introductory chapter explaining the motivation, focus, aim and message of the book, chapter 2 introduces the formal construction of maximum-entropy ensembles of graphs with local topological constraints. Chapter 3 focuses on the problem of pattern detection in real networks and provides a powerful way to disentangle nontrivial higher-order structural features from those that can be traced back to simpler local constraints. Chapter 4 focuses on the problem of network reconstruction and introduces various advanced techniques to reliably infer the topology of a network from partial local information. Chapter 5 is devoted to the reformulation of certain ???hard??? combinatorial operations, such as the enumeration and unbiased sampling of graphs with given constraints, within a ???softened??? maximum-entropy framework. A final chapter offers various overarching remarks and take-home messages. By requiring no prior knowledge of network theory, the book targets a broad audience ranging from PhD students approaching these topics for the first time to senior researchers interested in the application of advanced network techniques to their field
ISBN,Price9783319694382
Keyword(s)1. Applications of Graph Theory and Complex Networks 2. COMPLEX SYSTEMS 3. COMPLEXITY 4. COMPUTATIONAL COMPLEXITY 5. EBOOK 6. EBOOK - SPRINGER 7. GRAPH THEORY 8. PHYSICS 9. STATISTICAL PHYSICS 10. Statistical Physics and Dynamical Systems 11. SYSTEM THEORY
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TitleMultiplex Networks : Basic Formalism and Structural Properties
Author(s)Cozzo, Emanuele;de Arruda, Guilherme Ferraz;Rodrigues, Francisco Aparecido;Moreno, Yamir
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2018.
DescriptionVII, 121 p. 36 illus. in color : online resource
Abstract NoteThis book provides the basis of a formal language and explores its possibilities in the characterization of multiplex networks. Armed with the formalism developed, the authors define structural metrics for multiplex networks. A methodology to generalize monoplex structural metrics to multiplex networks is also presented so that the reader will be able to generalize other metrics of interest in a systematic way. Therefore, this book will serve as a guide for the theoretical development of new multiplex metrics. Furthermore, this Brief describes the spectral properties of these networks in relation to concepts from algebraic graph theory and the theory of matrix polynomials. The text is rounded off by analyzing the different structural transitions present in multiplex systems as well as by a brief overview of some representative dynamical processes. Multiplex Networks will appeal to students, researchers, and professionals within the fields of network science, graph theory, and data science.
ISBN,Price9783319922553
Keyword(s)1. Applications of Graph Theory and Complex Networks 2. Big data 3. BIG DATA ANALYTICS 4. EBOOK 5. EBOOK - SPRINGER 6. GRAPH THEORY 7. PHYSICS
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TitleGraphs in Perturbation Theory : Algebraic Structure and Asymptotics
Author(s)Borinsky, Michael
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2018.
DescriptionXVIII, 173 p. 23 illus., 3 illus. in color : online resource
Abstract NoteThis book is the first systematic study of graphical enumeration and the asymptotic algebraic structures in perturbative quantum field theory. Starting with an exposition of the Hopf algebra structure of generic graphs, it reviews and summarizes the existing literature. It then applies this Hopf algebraic structure to the combinatorics of graphical enumeration for the first time, and introduces a novel method of asymptotic analysis to answer asymptotic questions. This major breakthrough has combinatorial applications far beyond the analysis of graphical enumeration. The book also provides detailed examples for the asymptotics of renormalizable quantum field theories, which underlie the Standard Model of particle physics. A deeper analysis of such renormalizable field theories reveals their algebraic lattice structure. The pedagogical presentation allows readers to apply these new methods to other problems, making this thesis a future classic for the study of asymptotic problems in quantum fields, network theory and far beyond
ISBN,Price9783030035419
Keyword(s)1. Applications of Graph Theory and Complex Networks 2. EBOOK 3. EBOOK - SPRINGER 4. Elementary particles (Physics) 5. Elementary Particles, Quantum Field Theory 6. GRAPH THEORY 7. Mathematical Methods in Physics 8. PHYSICS 9. QUANTUM FIELD THEORY
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TitleSemigroup Methods for Evolution Equations on Networks
Author(s)Mugnolo, Delio
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2014.
DescriptionXV, 286 p. 33 illus., 1 illus. in color : online resource
Abstract NoteThis concise text is based on a series of lectures held only a few years ago and originally intended as an introduction to known results on linear hyperbolic and parabolic equations. ??Yet the topic of differential equations on graphs, ramified spaces, and more general network-like objects has recently gained significant momentum and, well beyond the confines of mathematics, there is a lively interdisciplinary discourse on all aspects of so-called complex networks. Such network-like structures can be found in virtually all branches of science, engineering and the humanities, and future research thus calls for solid theoretical foundations. ???????? This book is specifically devoted to the study of evolution equations ??? i.e., of time-dependent differential equations such as the heat equation, the wave equation, or the Schr??dinger equation (quantum graphs) ??? bearing in mind that the majority of the literature in the last ten years on the subject of differential equations of graphs has been devoted to elliptic equations and related spectral problems. Moreover, for tackling the most general settings - e.g. encoded in the transmission conditions in the network nodes - one classical and elegant tool is that of operator semigroups. This book is simultaneously a very concise introduction to this theory and a handbook on its applications to differential equations on networks. With a more interdisciplinary readership in mind, full proofs of mathematical statements have been frequently omitted in favor of keeping the text as concise, fluid and self-contained as possible. In addition, a brief chapter devoted to the field of neurodynamics of the brain cortex provides a concrete link to ongoing applied research
ISBN,Price9783319046211
Keyword(s)1. Applications of Graph Theory and Complex Networks 2. Applications of Nonlinear Dynamics and Chaos Theory 3. COMPLEX SYSTEMS 4. COMPLEXITY 5. COMPUTATIONAL COMPLEXITY 6. EBOOK 7. EBOOK - SPRINGER 8. GRAPH THEORY 9. PHYSICS 10. STATISTICAL PHYSICS 11. SYSTEM THEORY
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I07822     On Shelf    

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TitleIntroduction to quantum graphs
Author(s)Gregory Berkolaiko;Peter Kuchment
PublicationProvidence, American Mathematical Society, 2013.
Descriptionxiii, 270p.
Series(Mathematical Surveys and Monographs)
Abstract NoteA "quantum graph" is a graph considered as a one-dimensional complex and equipped with a differential operator ("Hamiltonian"). Quantum graphs arise naturally as simplified models in mathematics, physics, chemistry, and engineering when one considers propagation of waves of various nature through a quasi-one-dimensional system that looks like a thin neighborhood of a graph. Works that currently would be classified as discussing quantum graphs have been appearing since at least the 1930s, and since then, quantum graphs techniques have been applied successfully in various areas of mathematical physics, mathematics in general and its applications. One can mention, for instance, dynamical systems theory, control theory, quantum chaos, Anderson localization, microelectronics, photonic crystals, physical chemistry, nano-sciences, superconductivity theory, etc.
ISBN,Price9781470425999 : Rs. 960.00(PB)
Classification519.17
Keyword(s)1. GRAPH THEORY 2. GRAPHS 3. PERIODIC GRAPHS 4. QUANTUM GRAPH
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026068   519.17/BER/02608  On Shelf    

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TitleBeauty of geometry: Twelve Essays
Author(s)H. S. M. Coxeter
PublicationNew York, Dover Publications, Inc., 1968.
Descriptionx, 274p.
Abstract NoteWritten by a distinguished mathematician, the dozen absorbing essays in this versatile volume offer both supplementary classroom material and pleasurable reading for the mathematically inclined. The essays promise to encourage readers in the further study of elementary geometry, not just for its own sake, but also for its broader applications, which receive a full and engaging treatment. Beginning with an analytic approach, the author reviews the functions of Schlafli and Lobatschefsky and discusses number theory in a dissertation on integral Cayley numbers. A detailed examination of group theory includes discussion of Wythoff's construction for uniform polytopes, as well as a chapter on regular skew polyhedra in three and four dimensions and their topological analogues. A profile of self-dual configurations and regular graphs introduces elements of graph theory, followed up with a chapter on twelve points in PG (5, 3) with 95040 self-transformations. Discussion of an upper bound for the number of equal nonoverlapping spheres that can touch another same-sized sphere develops aspects of communication theory, while relativity theory is explored in a chapter on reflected light signals. - See more at: http://store.doverpublications.com/0486409198.html#sthash.U0Jy5hZo.dpuf
ISBN,Price9780486409191 : US $14.95(PB)
Classification514.01
Keyword(s)1. GEOMETRY 2. GRAPH THEORY 3. GROUP THEORY 4. INTERGRAL CAYLEY NUMBERS
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025993   514.01/COX/025993  On Shelf    

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TitleProofs from the book
Author(s)Martin Aigner;Gunter M. Ziegler
Edition3rd.
PublicationNew Delhi 1998.
Descriptionviii, 239p.
ISBN,Price9788184895339 : Rs. 450.00(PB)
Classification510
Keyword(s)1. ANALYSIS 2. COMBINATION 3. GEOMETRY 4. GRAPH THEORY 5. NUMBER THEORY 6. PROOFS
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023028   510/AIG/023028  On Shelf    

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TitleDynamical processes on complex networks
Author(s)Alain Barrat;Marc Barthelemy;Alessandro Vespignani
PublicationCambridge, Cambridge University Press, 2008.
Descriptionxvii, 347p.
ISBN,Price9780521879507 : Rs. 2730.00(HB)
Classification681.324
Keyword(s)1. EBOOK 2. EBOOK - CAMBRIDGE UNIVERSITY PRESS 3. GRAPH THEORY 4. NETWORK 5. NETWORK ANALYSIS 6. SYSTEM ANALYSIS
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022355   681.324/BAR/022355  On Shelf    
OB0780   681.324/BAR/  On Shelf    

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TitleBeginner's guide to finite mathematics : For business, managment, and the social sciences
Author(s)W. D. Wallis
PublicationBoston, Birkhauser, 2004.
Descriptionxii, 354p.
Contents NoteText book is designed for course in finite mathematics and application for business, management and social sciences students.
ISBN,Price8181282175 : Rs. 595.00
Classification519.6
Keyword(s)1. COMBINATION 2. FINITE MATHEMATICS 3. GRAPH THEORY 4. LINEAR PROGRAMMING 5. MATRICES 6. PERMUTATION 7. PROBABILITY 8. SET THEORY
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020188   519.6/WAL/020188  On Shelf    

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TitleIntroductory graph theory
Author(s)Gary Chartrand
EditionUnabridged and corrected republication of Graphs as mathematical models, originally published by Prindle, Weber & Schmidt, Inc, Boston, 1977
PublicationNew York, Dover Publications, Inc., 1984.
Descriptionxii, 291p.
ISBN,Price0486247759 : US$ 14.95
Classification519.17
Keyword(s)1. DIGRAPHS 2. GRAPH THEORY 3. MATHEMATICAL MODELS 4. TRANSPORTATION PROBLEMS - GRAPH THEORY
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019849   Gary Chart/019849  On Shelf    

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