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Functional characteristics of a node determinant

Authors
Journal
Journal of the Franklin Institute
0016-0032
Publisher
Elsevier
Publication Date
Volume
265
Issue
5
Identifiers
DOI: 10.1016/0016-0032(58)90716-6

Abstract

Abstract In most treatments of network theory, the characteristic determinant of a network is expanded by means of the Laplace expansion.Such an expansion always consists of a set of positive and negative terms, and the negative terms always cancel.In this paper a modification of the Laplace expansion is developed which removes initially all of the negative terms and which therefore reduces considerably the labor in making the expansion. The modification will be shown to apply not only to the characteristic determinant but to its first order cofactors as well. In addition a formula will be derived from which the maximum number of terms in the expansion may be computed.

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