Applications of Graphs in Chemistry and Physics
Published in November 1988
Book
Hardback
422 pages
978-0-444-70513-6 (ISBN)
Description
It has been said that modern molecular theory is founded on essentially graph-like models located in some appropriate embedding space. The idea may be extended to physical theory, and it is this that provides the raison d'etre for this collection of papers. Today there is almost no branch of chemistry, including its more recent relatives in polymer science and biology, that is not enriched by (or enriching) the mathematical theory of graphs. The impact of graph-theoretical thinking in physics has, with some notable exceptions, developed more slowly. In 1847, G.R. Kirchoff founded the theory of electrical networks as a graph-theoretical structure, and as a result also made significant contributions to the mathematics of graph theory. This tradition has continued into the newer sciences such as telecommunications, computer science and information science.
It has been said that modern molecular theory is founded on essentially graph-like models located in some appropriate embedding space. The idea may be extended to physical theory, and it is this that provides the raison d'etre for this collection of papers. Today there is almost no branch of chemistry, including its more recent relatives in polymer science and biology, that is not enriched by (or enriching) the mathematical theory of graphs. The impact of graph-theoretical thinking in physics has, with some notable exceptions, developed more slowly. In 1847, G.R. Kirchoff founded the theory of electrical networks as a graph-theoretical structure, and as a result also made significant contributions to the mathematics of graph theory. This tradition has continued into the newer sciences such as telecommunications, computer science and information science.
It has been said that modern molecular theory is founded on essentially graph-like models located in some appropriate embedding space. The idea may be extended to physical theory, and it is this that provides the raison d'etre for this collection of papers. Today there is almost no branch of chemistry, including its more recent relatives in polymer science and biology, that is not enriched by (or enriching) the mathematical theory of graphs. The impact of graph-theoretical thinking in physics has, with some notable exceptions, developed more slowly. In 1847, G.R. Kirchoff founded the theory of electrical networks as a graph-theoretical structure, and as a result also made significant contributions to the mathematics of graph theory. This tradition has continued into the newer sciences such as telecommunications, computer science and information science.
More details
Language
English
Place of publication
Oxford
United Kingdom
Publishing group
Elsevier Science & Technology
Target group
College/higher education
Professional and scholarly
Dimensions
Height: 240 mm
ISBN-13
978-0-444-70513-6 (9780444705136)
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Schweitzer Classification
Content
Introductory Remarks (J.W. Kennedy, L.V. Quintas). Alternating 6-Cycles in Perfect Matchings of Graphs Representing Condensed Benzenoid Hydrocarbons (A.T. Balaban, I. Tomescu). Determining Structural Similarity of Chemicals using Graph-Theoretic Indices (S.C. Basak, V.R. Magnuson, G.J. Niemi, R.R. Regal). Graph Embedding in SYNCHEM2, an Expert System for Organic Synthesis Discovery (J.D. Benstock, D.J. Berndt, K.K. Agarwal). Branching in Graphs and Molecules (S.H. Bertz). Low Density Series Expansions for Backbone Properties of Percolation Clusters (F.M. Bhatti, J.W. Essam). Threshold Phenomena in Random Structures (J.E. Cohen). Shortest-Path Problems and Molecular Conformation (A.W.M. Dress, T.F. Havel). Binomial-Combinatorial Properties of Clar Structures (S. El-Basil). Symmetries of Knotted Hypothetical Molecular Graphs (E. Flapan). Some Applications of Graph Theory to the Study of Polymer Configuration (H. Galina, M.M. Syslo). Antigenesis: A Cascade-Theoretical Analysis of the Size Distributions of Antigen-Antibody Complexes (R. Gross, J.W. Kennedy, L.V. Quintas, M.L. Yarmush). Spectral Properties of Some Structurally Related Graphs (I. Gutman, A. Graovac, O.E. Polansky). Embedding and Characterization of Quantum Chemical Reaction Graphs on Two-Dimensional Orientable Surfaces (F. Harary, P.G. Mezey). The Principle of Valency Conservation, 1. The Skeleton Influence on Pericyclic Reactions (E.C. Hass, P.J. Plath). On Some Counting Polynomials in Chemistry (H. Hosoya). Combinatorial Characterization of Hexagonal Systems (A.D. Jovanovic). Random Hypergraphs and Topological Gelation Criterion for Crosslinked Polymer Systems (W. Klonowski). Redfield's Papers and Their Relevance to Counting Isomers and Isomerizations (E.K. Lloyd). Space-Time `Bonds', Electromagnetism and Graphs (L. Peusner). The Challenge of Characterizing Branching in Molecular Species (D.H. Rouvray). Interacting Dimers on a Sierpinski Gasket (W.A. Seitz, D.J. Klein, G.E. Hite). Chemical Graphs Enumeration and Chemical Reactivity: Thermodynamic and Kinetic Considerations (Z. Slanina). New Results on the Enumeration of Non-Intersecting Random Walks (H.N.V. Temperley). Positive Feedback Loops and Multistationarity (R. Thomas, J. Richelle). Graphical Representation of Regular Resonance Structures and Their Linear Dependence (T.P. Zivkovic). Author Index.