On the Degeneracy of the Orbit Polynomial and Related Graph Polynomials
Copyright policy )FWF| Measures based on Graph Automorphism
Modjtaba Ghorbani; Matthias Dehmer; Frank Emmert-Streib;
1,319.14 EUR
On the Degeneracy of the Orbit Polynomial and Related Graph Polynomials
The orbit polynomial is a new graph counting polynomial which is defined as OG(x)=∑i=1rx|Oi|, where O1, …, Or are all vertex orbits of the graph G. In this article, we investigate the structural properties of the automorphism group of a graph by using several novel counting polynomials. Besides, we explore the orbit polynomial of a graph operation. Indeed, we compare the degeneracy of the orbit polynomial with a new graph polynomial based on both eigenvalues of a graph and the size of orbits.
Finland
- UMIT - Private Universität für Gesundheitswissenschaften, Medizinische Informatik und Technik Austria
- Nankai University China (People's Republic of)
- FWF Austrian Science Fund Austria
- Shahid Rajaee Teacher Training University Iran (Islamic Republic of)
- Swiss Distance University of Applied Sciences Switzerland
automorphism group, polynomial roots, orbit-stabilizer theorem, group action, 113, orbit, 004
automorphism group, polynomial roots, orbit-stabilizer theorem, group action, 113, orbit, 004
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selected citations
Citations provided by BIP!
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
Citations provided by BIP!popularityPopularity provided by BIP!
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
Popularity provided by BIP! 4
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