Category: Graph Theory

  • Graph Theory with Applications to Engineering and Computer by Narsingh Deo

    By Narsingh Deo

    This impressive introductory remedy of graph thought and its purposes has had a longevity within the guide of complex undergraduates and graduate scholars in all components that require wisdom of this topic. the 1st 9 chapters represent an outstanding total advent, requiring just some wisdom of set thought and matrix algebra. themes comprise paths and circuits, timber and primary circuits, planar and twin graphs, vector and matrix illustration of graphs, and comparable subjects.
    The final six chapters are extra complex, masking graph conception algorithms and machine courses, graphs in switching and coding idea, electric community research by way of graph idea, graph thought in operations study, and extra. teachers may possibly mix those chapters with the previous fabric for classes in quite a few fields, together with electric engineering, desktop technology, operations study, and utilized arithmetic.
    Show description

  • Handbook of Product Graphs by Richard Hammack, Wilfried Imrich, Sandi Klavžar

    By Richard Hammack, Wilfried Imrich, Sandi Klavžar

    Guide of Product Graphs, moment variation examines the dichotomy among the constitution of goods and their subgraphs. It additionally beneficial properties the layout of effective algorithms that realize items and their subgraphs and explores the connection among graph parameters of the product and elements. greatly revised and elevated, the guide offers complete proofs of many very important effects in addition to updated study and conjectures. effects and Algorithms New to the second one version: Cancellation effects A quadratic acceptance set of rules for partial cubes effects at the powerful isometric measurement Computing the Wiener index through canonical isometric embedding Connectivity effects A fractional model of Hedetniemi’s conjecture effects at the independence variety of Cartesian powers of vertex-transitive graphs Verification of Vizing’s conjecture for chordal graphs effects on minimal cycle bases quite a few chosen fresh effects, equivalent to whole minors and nowhere-zero flows the second one version of this vintage instruction manual offers an intensive advent to the topic and an in depth survey of the sector. the 1st 3 components of the e-book conceal graph items intimately. The authors speak about algebraic houses, resembling factorization and cancellation, and discover attention-grabbing and significant periods of subgraphs. The fourth half provides algorithms for the popularity of goods and similar periods of graphs. the ultimate elements specialise in graph invariants and endless, directed, and product-like graphs. pattern implementations of chosen algorithms and different info can be found at the book’s web site, which might be reached through the authors’ domestic pages.
    Show description

  • Graphs, groups, and surfaces by Arthur T. White

    By Arthur T. White

    The sphere of topological graph concept has improved enormously within the ten years because the first version of this e-book seemed. the unique 9 chapters of this vintage paintings have consequently been revised and up-to-date. Six new chapters were further, facing: voltage graphs, non-orientable imbeddings, block designs linked to graph imbeddings, hypergraph imbeddings, map automorphism teams and alter ringing. Thirty-two new difficulties were extra to this new version, in order that there are actually 181 in all; 22 of those were particular as ``difficult'' and nine as ``unsolved''. 3 of the 4 unsolved difficulties from the 1st variation were solved within the ten years among versions; they're now marked as ``difficult''.
    Show description

  • Applications of Graph Theory and Topology in Inorganic by R. Bruce King

    By R. Bruce King

    Functions of Graph idea and Topology in Inorganic Cluster and Coordination Chemistry is a text-reference that gives inorganic chemists with a rudimentary wisdom of topology, graph conception, and comparable mathematical disciplines. The publication emphasizes the appliance of those themes to steel clusters and coordination compounds.

    The book's preliminary chapters current historical past info in topology, graph conception, and team idea, explaining how those issues relate to the homes of atomic orbitals and are utilized to coordination polyhedra. next chapters practice those principles to the constitution and chemical bonding in various forms of inorganic compounds, together with boron cages, steel clusters, strong nation fabrics, steel oxide derivatives, superconductors, icosahedral stages, and carbon cages (fullerenes). The book's ultimate bankruptcy introduces the applying of topology and graph conception for learning the dynamics of rearrangements in coordination and cluster polyhedra.
    Show description

  • Einführung in die Kombinatorik by Peter Tittmann

    By Peter Tittmann

    Dieses Lehrbuch vermittelt die Grundlagen und Konzepte der modernen Kombinatorik in anschaulicher Weise. Die verständliche Darlegung richtet sich an Studierende der Mathematik, der Naturwissenschaften, der Informatik und der Wirtschaftswissenschaften und erlaubt einen einfachen und beispielorientierten Zugang zu den Methoden der Kombinatorik. Beginnend mit den Grundaufgaben der Kombinatorik wird der Leser Schritt für Schritt mit weiterführenden Themen wie erzeugende Funktionen, Rekurrenzgleichungen und der Möbiusinversion vertraut gemacht. Eine Vielzahl von Beispielen und Übungsaufgaben mit Lösungen erleichtern das Verständnis und dienen der Vertiefung und praktischen Anwendung des Lehrstoffes.

    Die vorliegende zweite Auflage ist deutlich erweitert um das für die enumerative Kombinatorik wichtige Thema Graphenpolynome sowie um ein Kapitel „Wörter und Automaten“, das die Anwendung von formalen Sprachen und endlichen Automaten zur Bestimmung von erzeugenden Funktionen für kombinatorische Probleme aufzeigt.

    Show description

  • Graph Theory with Algorithms and its Applications: In by Santanu Saha Ray

    By Santanu Saha Ray

    The ebook has many very important positive factors which make it appropriate for either undergraduate and postgraduate scholars in a number of branches of engineering and basic and technologies. the $64000 subject matters interrelating arithmetic & desktop technology also are coated in brief. The e-book comes in handy to readers with quite a lot of backgrounds together with arithmetic, laptop Science/Computer functions and Operational study. whereas facing theorems and algorithms, emphasis is laid on structures which encompass formal proofs, examples with purposes. Uptill, there's shortage of books within the open literature which disguise all the pieces together with most significantly numerous algorithms and functions with examples.

    Show description

  • Graphs, Dioids and Semirings: New Models and Algorithms by Michel Gondran

    By Michel Gondran

    The origins of Graph conception date again to Euler (1736) with the answer of the prestigious 'Koenigsberg Bridges Problem'; and to Hamilton with the well-known 'Trip around the globe' video game (1859), declaring for the 1st time an issue which, in its newest model – the 'Traveling Salesman challenge' -, remains to be the topic of lively examine. but, it's been over the past fifty years or so—with the increase of the digital computers—that Graph thought has develop into an quintessential self-discipline when it comes to the quantity and significance of its functions around the technologies. Graph thought has been specially significant to Theoretical and Algorithmic laptop technology, and automated regulate, platforms Optimization, financial system and Operations learn, facts research within the Engineering Sciences. shut connections among graphs and algebraic constructions were popular within the research and implementation of effective algorithms for plenty of difficulties, for instance: transportation community optimization, telecommunication community optimization and making plans, optimization in scheduling and construction structures, etc.

    The fundamental pursuits of GRAPHS, DIOÏDS AND SEMIRINGS: New types and Algorithms are to stress the deep relatives current among the semiring and dioïd buildings with graphs and their combinatorial homes, whereas demonstrating the modeling and problem-solving potential and adaptability of those buildings. furthermore the ebook offers an in depth evaluate of the mathematical homes hired through "nonclassical" algebraic buildings, which both expand traditional algebra (i.e., semirings), or correspond to a brand new department of algebra (i.e., dioïds), except the classical buildings of teams, earrings, and fields.

    Show description

  • Computational Methods for Algebraic Spline Surfaces. ESF by Tor Dokken, Bert Jüttler

    By Tor Dokken, Bert Jüttler

    The papers integrated during this quantity supply an summary of the cutting-edge in approximative implicitization and numerous comparable themes, together with either the theoretical foundation and the present computational techniques.The novel notion of approximate implicitization has reinforced the present hyperlink among computing device Aided Geometric layout and classical algebraic geometry. there's a transforming into curiosity from researchers and execs either in CAGD and Algebraic Geometry, to fulfill andcombine wisdom and ideas,with the purpose to enhance the fixing of industrial-type demanding situations, in addition to to start up new instructions for easy examine. This quantity will aid this trade of principles among many of the groups.
    Show description