Vol. 51, No. 2, 1974

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Determinants of Petrie matrices

Manfred Gordon and Edward Martin Wilkinson

Vol. 51 (1974), No. 2, 451–453
Abstract

The number of nonsingular square Petrie matrices is calculated by setting up a correspondence with spanning trees and then using Cayley’s Theorem to count these trees. This work has applications in the ‘excluded volume’ problem in Polymer Science.

Mathematical Subject Classification 2000
Primary: 05B20
Milestones
Received: 4 October 1972
Published: 1 April 1974
Authors
Manfred Gordon
Edward Martin Wilkinson