Abstract | ||
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The bandwidth problem for a graph is that of labelling its vertices with distinct integers so that the maximum difference across an edge is minimized. We here solve this problem for all theta graphs. These are graphs which consist of two terminal vertices and a number of paths of possibly varying length between these. Chvatalova and Opatrny (1988) resolved this question when each path has (edge) length at least 4 or all paths have length 3. |
Year | DOI | Venue |
---|---|---|
1992 | 10.1016/0012-365X(92)90268-K | Discrete Mathematics |
Keywords | Field | DocType |
theta graph,short path | Integer,Discrete mathematics,Graph,Combinatorics,Path length,Vertex (geometry),Bandwidth (signal processing),Graph bandwidth,Theta graph,Mathematics,Graph labelling | Journal |
Volume | Issue | ISSN |
103 | 2 | Discrete Mathematics |
Citations | PageRank | References |
7 | 0.96 | 2 |
Authors | ||
2 |
Name | Order | Citations | PageRank |
---|---|---|---|
G. W. Peck | 1 | 27 | 4.13 |
Aditya Shastri | 2 | 52 | 12.29 |