Applications of caterpillar trees in chemistry and physics
 Sherif ElBasil
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The relations of caterpillar trees (which are also known as Gutman trees and benzenoid trees) to other mathematical objects such as polyhex graphs, Clar graphs, king polyominos, rook boards and Young diagrams are discussed. Potential uses of such trees in data reduction, computational graph theory, and in the ordering of graphs are considered. Combinatorial and physical properties of benzenoid hydrocarbons can be studied via related caterpillars. It thus becomes possible to study the properties of large graphs such as benzenoid (i.e. polyhex) graphs in terms of much smaller tree graphs. Generation of the cyclic structures of wreath and generalized wreath product groups through the use of caterpillar trees is illustrated.
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 Title
 Applications of caterpillar trees in chemistry and physics
 Journal

Journal of Mathematical Chemistry
Volume 1, Issue 2 , pp 153174
 Cover Date
 19870701
 DOI
 10.1007/BF01205666
 Print ISSN
 02599791
 Online ISSN
 15728897
 Publisher
 Kluwer Academic Publishers
 Additional Links
 Authors

 Sherif ElBasil ^{(1)}
 Author Affiliations

 1. Department of Chemistry, University of Georgia, 30602, Athens, Georgia, USA