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    3. Graph theory

    The Steiner Ratio

    Posted By: AvaxGenius
    Date: 6 Apr 2025 04:05:26
    The Steiner Ratio

    The Steiner Ratio by Dietmar Cieslik
    English | PDF | 2001 | 247 Pages | ISBN : 0792370155 | 15.5 MB

    Steiner's Problem concerns finding a shortest interconnecting network for a finite set of points in a metric space. A solution must be a tree, which is called a Steiner Minimal Tree (SMT), and may contain vertices different from the points which are to be connected. Steiner's Problem is one of the most famous combinatorial-geometrical problems, but unfortunately it is very difficult in terms of combinatorial structure as well as computational complexity. However, if only a Minimum Spanning Tree (MST) without additional vertices in the interconnecting network is sought, then it is simple to solve. So it is of interest to know what the error is if an MST is constructed instead of an SMT. The worst case for this ratio running over all finite sets is called the Steiner ratio of the space.
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    Graph Theory: An Introductory Course

    Posted By: AvaxGenius
    Date: 24 Dec 2022 04:10:18
    Graph Theory: An Introductory Course

    Graph Theory: An Introductory Course by Béla Bollobás
    English | PDF | 1979 | 191 Pages | ISBN : 1461299691 | 24 MB

    From the reviews: "Béla Bollobás introductory course on graph theory deserves to be considered as a watershed in the development of this theory as a serious academic subject. … The book has chapters on electrical networks, flows, connectivity and matchings, extremal problems, colouring, Ramsey theory, random graphs, and graphs and groups. Each chapter starts at a measured and gentle pace. Classical results are proved and new insight is provided, with the examples at the end of each chapter fully supplementing the text.
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    Theory and Application of Graphs

    Posted By: AvaxGenius
    Date: 20 Feb 2022 22:50:43
    Theory and Application of Graphs

    Theory and Application of Graphs by Junming Xu
    English | PDF | 2003 | 343 Pages | ISBN : 1402075405 | 14.8 MB

    In the spectrum of mathematics, graph theory which studies a mathe­ matical structure on a set of elements with a binary relation, as a recognized discipline, is a relative newcomer. In recent three decades the exciting and rapidly growing area of the subject abounds with new mathematical devel­ opments and significant applications to real-world problems. More and more colleges and universities have made it a required course for the senior or the beginning postgraduate students who are majoring in mathematics, computer science, electronics, scientific management and others.
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    Exercises in Graph Theory

    Posted By: l3ivo
    Date: 22 Dec 2020 07:59:24
    Exercises in Graph Theory

    O. Melnikov, V. Sarvanov, R.I. Tyshkevich, V. Yemelichev, Igor E. Zverovich, "Exercises in Graph Theory"
    English | 1998 | ISBN: 9048149797, 0792349067 | 364 pages | PDF | 13.74 MB
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    Geometry of Digital Spaces

    Posted By: AvaxGenius
    Date: 28 Jun 2020 15:54:21
    Geometry of Digital Spaces

    Geometry of Digital Spaces by Gabor T. Herman
    English | PDF | 1998 | 221 Pages | ISBN : 0817638970 | 33.94 MB

    "La narraci6n literaria es la evocaci6n de las nostalgias. " ("Literary narration is the evocation of nostalgia. ") G. G. Marquez, interview in Puerta del Sol, VII, 4, 1996. A Personal Prehistory In 1972 I started cooperating with members of the Biodynamics Research Unit at the Mayo Clinic in Rochester, Minnesota, which was under the direction of Earl H. Wood.
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    Discrete Mathematics in Statistical Physics: Introductory Lectures (Repost)

    Posted By: AvaxGenius
    Date: 15 Mar 2020 12:04:43
    Discrete Mathematics in Statistical Physics: Introductory Lectures (Repost)

    Discrete Mathematics in Statistical Physics: Introductory Lectures by Martin Loebl
    English | PDF | 2010 | 187 Pages | ISBN : 3528032197 | 1.52 MB

    The book first describes connections between some basic problems and technics of combinatorics and statistical physics. The discrete mathematics and physics terminology are related to each other. Using the established connections, some exciting activities in one field are shown from a perspective of the other field. The purpose of the book is to emphasize these interactions as a strong and successful tool. In fact, this attitude has been a strong trend in both research communities recently.
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