| Autor: |
Alipour Maryam, Tittmann Peter |
| Jazyk: |
angličtina |
| Rok vydání: |
2021 |
| Předmět: |
|
| Zdroj: |
Discussiones Mathematicae Graph Theory, Vol 41, Iss 3, Pp 697-711 (2021) |
| Druh dokumentu: |
article |
| ISSN: |
2083-5892 |
| DOI: |
10.7151/dmgt.2347 |
| Popis: |
The neighborhood polynomial of graph G is the generating function for the number of vertex subsets of G of which the vertices have a common neighbor in G. In this paper, we investigate the behavior of this polynomial under several graph operations. Specifically, we provide an explicit formula for the neighborhood polynomial of the graph obtained from a given graph G by vertex attachment. We use this result to propose a recursive algorithm for the calculation of the neighborhood polynomial. Finally, we prove that the neighborhood polynomial can be found in polynomial-time in the class of k-degenerate graphs. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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