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
Received 28 June 1982; Revised 25 January 1983

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.