Relations and bounds for the zeros of graph polynomials using vertex orbits
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Yksityiskohdat
| Alkuperäiskieli | Englanti |
|---|---|
| Artikkeli | 125239 |
| Julkaisu | Applied Mathematics and Computation |
| Vuosikerta | 380 |
| DOI - pysyväislinkit | |
| Tila | Julkaistu - 1 syyskuuta 2020 |
| OKM-julkaisutyyppi | A1 Alkuperäisartikkeli |
Tiivistelmä
In this paper, we prove bounds for the unique, positive zero of OG ★(z):=1−OG(z), where OG(z) is the so-called orbit polynomial [1]. The orbit polynomial is based on the multiplicity and cardinalities of the vertex orbits of a graph. In [1], we have shown that the unique, positive zero δ ≤ 1 of OG ★(z) can serve as a meaningful measure of graph symmetry. In this paper, we study special graph classes with a specified number of orbits and obtain bounds on the value of δ.