✦ LIBER ✦

Graphs with two kinds of elements

✍ Scribed by S.L. Hakimi

Publisher: Elsevier Science
Year: 1960
Tongue: English
Weight: 852 KB
Volume: 270
Category: Article
ISSN: 0016-0032
DOI: 10.1016/0016-0032(60)90661-x

No coin nor oath required. For personal study only.

✦ Synopsis

Some of the fundamental properties of the graphs with two kinds of elements, red and black, are studied. An interesting property of a discrete function representing the number of trees with n red element as n varies over the possible range is discussed. Procedures are given by means of which one can find trees or 2-trees with maximum (or minimum) number of red elements. These results are used to find the number of poles and zeros of any network function of an RC network. The procedure is further modified to enable one to find the number of poles and zeros of network functions of an RLC network.

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