177 research outputs found

    Review of: Graph Theory by J. A. Bondy and U. S. R. Murty

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    The article reviews the book Graph Theory, by J. A. Bondy and U. S. R. Murty

    Review of: A Java Library of Graph Algorithms and Optimization by Hang T. Lau

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    The article reviews the book A Java Library of Graph Algorithms and Optimization, by Hang T. Lau

    Counting Configurations in Designs

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    AbstractGiven a t-(v, k, λ) design, form all of the subsets of the set of blocks. Partition this collection of configurations according to isomorphism and consider the cardinalities of the resulting isomorphism classes. Generalizing previous results for regular graphs and Steiner triple systems, we give linear equations relating these cardinalities. For any fixed choice of t and k, the coefficients in these equations can be expressed as functions of v and λ and so depend only on the design's parameters, and not its structure. This provides a characterization of the elements of a generating set for m-line configurations of an arbitrary design

    Review of: Assignment Problems by Rainer Burkard, Mauro Dell\u27Amico, and Silvano Martello

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    The article reviews the book Assignment Problems, by Rainer Burkard, Mauro Dell\u27Amico and Silvano Martello

    Review of: Vector Calculus by Michael Corral

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    The article reviews the book Vector Calculus, by Michael Corral

    Sage (version 3.4); The Princeton Companion To Mathematics

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    The article reviews the mathematics software Sage Version 3.4 from Sage Group

    Review of: Pearls Of Discrete Mathematics by Martin Erickson

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    This article reviews the book Pearls of Discrete Mathematics, by Martin Erickson

    Review of: Graph Theory by Reinhard Diestel

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    This article reviews the book Graph Theory, by Reinhard Diestel

    The matching polynomial of a regular graph

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    AbstractThe matching polynomial of a graph has coefficients that give the number of matchings in the graph. For a regular graph, we show it is possible to recover the order, degree, girth and number of minimal cycles from the matching polynomial. If a graph is characterized by its matching polynomial, then it is called matching unique. Here we establish the matching uniqueness of many specific regular graphs; each of these graphs is either a cage, or a graph whose components are isomorphic to Moore graphs. Our main tool in establishing the matching uniqueness of these graphs is the ability to count certain subgraphs of a regular graph

    Real-time monitoring of the heat of transfer of a homologous series of m-alkoxy phenols from isotonic aqueous solution to bacterial cells

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    Heats of dissolution of a homologous series of m-alkoxy phenols in an osmotically stable isotonic solution and in the same media containing a suspension of Escherichia coli cells were obtained by a differential heat conduction batch calorimeter at 298 K. The calorimetric curves show an initial rapid endothermic dissolution of the solute, followed by an exothermic process. From the heats of solution, the heat of transfer (Qtrs) of these compounds from the aqueous solution to the cells was calculated. The heat of transfer is exothermic and increases with the hydrophobicity of the compounds due to the biological consequences of the interaction process with the lipidic phase
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