| Naslov: | On the Wiener-like root-indices of graphs |
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| Avtorji: | ID Brezovnik, Simon (Avtor)
ID Dehmer, Matthias (Avtor)
ID Tratnik, Niko (Avtor)
ID Žigert Pleteršek, Petra (Avtor) |
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| Datoteke: |  RAZ_Brezovnik_Simon_2025.pdf (1,29 MB)
MD5: 4FCE41AB5D52AC3A381C8CBD8599D63D
 https://doi.org/10.1007/s40314-025-03296-7
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| Jezik: | Angleški jezik |
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| Vrsta gradiva: | Znanstveno delo |
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| Tipologija: | 1.01 - Izvirni znanstveni članek |
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| Organizacija: | FNM - Fakulteta za naravoslovje in matematiko
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| Opis: | In this paper, we examine roots of graph polynomials where those roots can be considered as structural graph measures. More precisely, we prove analytical results for the roots of certain modified graph polynomials and also discuss numerical results. As polynomials, we use, e.g., the Hosoya, the Schultz, and the Gutman polynomial which belong to an interesting family of degree-distance-based graph polynomials; they constitute so-called counting polynomials with non-negative integers as coefficients and the roots of their modified versions have been used to characterize the topology of graphs. Our results can be applied for the quantitative characterization of graphs. Besides analytical results on bounds and convergence, we also investigate other properties of those measures such as their degeneracy which is an undesired aspect of graph measures. It turns out that the measures representing roots of graph polynomials possess high discrimination power on exhaustively generated trees, which outperforms standard versions of these indices. Furthermore, a new measure is introduced that allows us to compare different topological indices in terms of structure sensitivity and abruptness. |
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| Ključne besede: | graph theory, Hosoya polynomial, Schultz polynomial, Gutman polynomial, root-index, discrimination power, structure sensitivity |
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| Status publikacije: | Objavljeno |
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| Verzija publikacije: | Objavljena publikacija |
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| Poslano v recenzijo: | 10.03.2025 |
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| Datum sprejetja članka: | 10.06.2025 |
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| Datum objave: | 28.06.2025 |
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| Založnik: | Springer |
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| Leto izida: | 2025 |
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| Št. strani: | 20 str. |
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| Številčenje: | Letn. 44, št. 7, št. članka 333 |
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| PID: | 20.500.12556/DKUM-93581  |
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| UDK: | 519.17 |
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| COBISS.SI-ID: | 241216515 |
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| DOI: | 10.1007/s40314-025-03296-7 |
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| ISSN pri članku: | 1807-0302 |
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| Datum objave v DKUM: | 03.07.2025 |
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| Število ogledov: | 143 |
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| Število prenosov: | 15 |
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| Metapodatki: |    |
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| Področja: | Ostalo
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