From paths to stars
The number of cycles in the complement T′ of a tree T is known to increase with the diameter of the tree. A similar question is raised and settled for the number of complete subgraphs in T′ for a special class of trees via Fibonacci numbers. A structural characterization of extremal trees is also pr...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1991-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171291000418 |
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| Summary: | The number of cycles in the complement T′ of a tree T is known to increase
with the diameter of the tree. A similar question is raised and settled for the number of
complete subgraphs in T′ for a special class of trees via Fibonacci numbers. A structural
characterization of extremal trees is also presented. |
|---|---|
| ISSN: | 0161-1712 1687-0425 |