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Author  Title  Accn#  Year  Item Type  Claims 
1 
Squartini, Tiziano 
MaximumEntropy 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 


1.


Title  MaximumEntropy Networks : Pattern Detection, Network Reconstruction and Graph Combinatorics 
Author(s)  Squartini, Tiziano;Garlaschelli, Diego 
Publication  Cham, 1. Imprint: Springer
2. Springer International Publishing, 2017. 
Description  XII, 116 p. 34 illus., 31 illus. in color : online resource 
Abstract Note  This book is an introduction to maximumentropy 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 maximumentropy 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 higherorder 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??? maximumentropy framework. A final chapter offers various overarching remarks and takehome 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,Price  9783319694382 
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

Item Type  eBook 
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Call#  Status  Issued To  Return Due On  Physical Location 
I09907 


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2.


Title  Multiplex Networks : Basic Formalism and Structural Properties 
Author(s)  Cozzo, Emanuele;de Arruda, Guilherme Ferraz;Rodrigues, Francisco Aparecido;Moreno, Yamir 
Publication  Cham, 1. Imprint: Springer
2. Springer International Publishing, 2018. 
Description  VII, 121 p. 36 illus. in color : online resource 
Abstract Note  This 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,Price  9783319922553 
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

Item Type  eBook 
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Call#  Status  Issued To  Return Due On  Physical Location 
I09825 


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3.


Title  Graphs in Perturbation Theory : Algebraic Structure and Asymptotics 
Author(s)  Borinsky, Michael 
Publication  Cham, 1. Imprint: Springer
2. Springer International Publishing, 2018. 
Description  XVIII, 173 p. 23 illus., 3 illus. in color : online resource 
Abstract Note  This 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,Price  9783030035419 
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

Item Type  eBook 
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Call#  Status  Issued To  Return Due On  Physical Location 
I09152 


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4.


Title  Semigroup Methods for Evolution Equations on Networks 
Author(s)  Mugnolo, Delio 
Publication  Cham, 1. Imprint: Springer
2. Springer International Publishing, 2014. 
Description  XV, 286 p. 33 illus., 1 illus. in color : online resource 
Abstract Note  This 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 networklike objects has recently gained significant momentum and, well beyond the confines of mathematics, there is a lively interdisciplinary discourse on all aspects of socalled complex networks. Such networklike 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 timedependent 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 selfcontained 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,Price  9783319046211 
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

Item Type  eBook 
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Accession#  
Call#  Status  Issued To  Return Due On  Physical Location 
I07822 


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5.


Title  Introduction to quantum graphs 
Author(s)  Gregory Berkolaiko;Peter Kuchment 
Publication  Providence, American Mathematical Society, 2013. 
Description  xiii, 270p. 
Series  (Mathematical Surveys and Monographs) 
Abstract Note  A "quantum graph" is a graph considered as a onedimensional 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 quasionedimensional 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, nanosciences, superconductivity theory, etc. 
ISBN,Price  9781470425999 : Rs. 960.00(PB) 
Classification  519.17

Keyword(s)  1. GRAPH THEORY
2. GRAPHS
3. PERIODIC GRAPHS
4. QUANTUM GRAPH

Item Type  Book 
Circulation Data
Accession#  
Call#  Status  Issued To  Return Due On  Physical Location 
026068 

519.17/BER/02608 
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6.


Title  Beauty of geometry: Twelve Essays 
Author(s)  H. S. M. Coxeter 
Publication  New York, Dover Publications, Inc., 1968. 
Description  x, 274p. 
Abstract Note  Written 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 selfdual configurations and regular graphs introduces elements of graph theory, followed up with a chapter on twelve points in PG (5, 3) with 95040 selftransformations. Discussion of an upper bound for the number of equal nonoverlapping spheres that can touch another samesized 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,Price  9780486409191 : US $14.95(PB) 
Classification  514.01

Keyword(s)  1. GEOMETRY
2. GRAPH THEORY
3. GROUP THEORY
4. INTERGRAL CAYLEY NUMBERS

Item Type  Book 
Circulation Data
Accession#  
Call#  Status  Issued To  Return Due On  Physical Location 
025993 

514.01/COX/025993 
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10.
 
Title  Introductory graph theory 
Author(s)  Gary Chartrand 
Edition  Unabridged and corrected republication of Graphs as mathematical models, originally published by Prindle, Weber & Schmidt, Inc, Boston, 1977 
Publication  New York, Dover Publications, Inc., 1984. 
Description  xii, 291p. 
ISBN,Price  0486247759 : US$ 14.95 
Classification  519.17

Keyword(s)  1. DIGRAPHS
2. GRAPH THEORY
3. MATHEMATICAL MODELS
4. TRANSPORTATION PROBLEMS  GRAPH THEORY

Item Type  Book 
Circulation Data
Accession#  
Call#  Status  Issued To  Return Due On  Physical Location 
019849 

Gary Chart/019849 
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