By J. W. Kennedy, Louis V. Quintas
It's been acknowledged that glossy molecular conception is based on primarily graph-like versions positioned in a few applicable embedding house. the assumption should be prolonged to actual idea, and it truly is this that gives the raison d'etre for this selection of papers. this day there's nearly no department of chemistry, together with its more moderen relations in polymer technological know-how and biology, that isn't enriched by way of (or enriching) the mathematical conception of graphs. The impression of graph-theoretical pondering in physics has, with a few extraordinary exceptions, built extra slowly. In 1847, G.R. Kirchoff based the idea of electric networks as a graph-theoretical constitution, and hence additionally made major contributions to the math of graph idea. this practice has persisted into the more recent sciences akin to telecommunications, laptop technological know-how and knowledge technology.
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Additional info for Applications of Graphs in Chemistry and Physics
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Architecture of s y n c h e m 2 Other introductions to the s y n c h e m project are found in [7,19,20]. 1. Control strategy Problem reduction by retrosynthesis The problem reduction strategy s y n c h e m 2 uses for finding synthesis routes for an input organic molecule (called the target molecule) is to select reactions that Graph embedding in synchem 2 47 retrosynthesize it into compounds that are simpler in the sense that they are com mercially available or are expected to be more readily synthesizable.
B. K. , Math. Biosci. 39 (1978) 299-312. J. Schwenk, Almost all trees are cospectral, in: F. , New Directions in the Theory of Graphs (Academic Press, New York, 1973). J. Slater, Counterexamples to Randic’s conjecture on distance degree sequences for trees, J. Graph Theory 6 (1982) 89-92. A. Smolenski, Application of the theory of graphs to calculations of the additive structural pro perties of hydrocarbons, Russ. J. Phys. Chem. 38 (1964) 700-702.  L. Spialter, The atom connectivity matrix (ACM) and its characteristic polynomial (ACMCP): a new computer-oriented chemical nomenclature, J.