International Journal of Mathematics and Mathematical Sciences
Volume 6 (1983), Issue 3, Pages 521-533
doi:10.1155/S0161171283000472
Path decompositions of chains and circuits
E.J. Farrell
Department of Mathematics, The University of the West Indies, West Indies, St. Augustine, Trinidad and Tobago
Abstract
Expressions for the path polynomials (see Farrell [1]) of chains and circuits are derived. These polynomials are then used to deduce results about node disjoint path decompositions of chains and circuits. Some results are also given for decompositions in which specific paths must be used.