A Note on a Generalized Transmission Number and Its Sabidussi Difference

Mikio KANO  Masakazu SENGOKU  Shoji SHINODA  

IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E74-A   No.4   pp.684-686
Publication Date: 1991/04/25
Online ISSN: 
Print ISSN: 0916-8508
Type of Manuscript: Special Section LETTER (Special Issue on Discrete Mathematics and Its Applications)

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Consider a connected network N. With each edge of N we associate a nonnegative real number called the length of the edge. Let N be a network obtained from N by adding new edges and/or by decreasing the lengths of some edges. For a generalized transmission number cf(N, v) defined on vertex v in N, we call Δc(v)=cf(N, v)-cf(N ,v) the Sabidussi difference of vertex v. In this note, we present a new theorem and its corollaries on the Sabidussi difference.