Advances and Applications in Discrete Mathematics
Volume 2, Issue 1, Pages 1 - 16
(July 2008)
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SOME WEIGHTED ZETA FUNCTIONS OF DIGRAPHS
Iwao Sato (Japan)
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of
D,
respectively. As corollaries, we show that a zeta function and an L-function of D are equal
to that of the line graph
of D, respectively. Moreover, we
express characteristic polynomials of a weighted matrix and the adjacency matrix
of
by
those of D