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Signed digraphs and their applications. (English) Zbl 1032.05062

Summary: This paper investigates a special class of digraphs, namely the signed digraphs. A simple dynamic model, the pulse process model which gives a specific rule for change of value of the variables on a signed digraph is introduced. Also introduced in this paper is the notion of stability of signed digraphs in a pulse process which gives the criteria for a system to be stable without external pressures. The results are then applied to specific energy demand signed digraphs.

MSC:

05C22 Signed and weighted graphs
05C20 Directed graphs (digraphs), tournaments
05C90 Applications of graph theory

Keywords:

stability; energy
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