Class of graphs with restricted neighborhoods
A description is obtained for connected graphs in which a point u is adjacent of v only if u is adjacent to all points whose degree is greater than that of v. The minimum number of lines in such a grpah with all points having degree at least d is also determined. Finally, an application to communica...
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| Veröffentlicht in: | Journal of graph theory 1979, Vol.3 (3), p.257-262 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | A description is obtained for connected graphs in which a point u is adjacent of v only if u is adjacent to all points whose degree is greater than that of v. The minimum number of lines in such a grpah with all points having degree at least d is also determined. Finally, an application to communication systems is discussed. |
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| ISSN: | 0364-9024 1097-0118 |
| DOI: | 10.1002/jgt.3190030308 |