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Time-stamped graphs and their associated influence digraphs

โœ Scribed by Eddie Cheng; Jerrold W Grossman; Marc J Lipman


Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
185 KB
Volume
128
Category
Article
ISSN
0166-218X

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โœฆ Synopsis


A time-stamped graph is an undirected graph with a real number on each edge. Vertex u in uences vertex v if there is a non-decreasing path from u to v. The associated in uence digraph of a time-stamped graph is the directed graph that records the in uences. Among other results, we determine for what n and t there exists a time-stamped graph whose associated in uence digraph has n vertices and t arcs. We also investigate the minimum number of vertices a graph can have so that a given digraph is an induced subgraph of its associated in uence digraph. A number of other questions are also explored.


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