Brezovnik, Simon; Che, Zhongyuan; Tratnik, Niko; Žigert Pleteršek, Petra Outerplane bipartite graphs with isomorphic resonance graphs. (English) Zbl 07782004 Discrete Appl. Math. 343, 340-349 (2024). MSC: 05C20 05C60 05C92 92E10 PDFBibTeX XMLCite \textit{S. Brezovnik} et al., Discrete Appl. Math. 343, 340--349 (2024; Zbl 07782004) Full Text: DOI arXiv
Knor, Martin; Tratnik, Niko A method for computing the edge-Hosoya polynomial with application to phenylenes. (English) Zbl 07735063 MATCH Commun. Math. Comput. Chem. 89, No. 3, 605-629 (2023). Reviewer: Dieter Erle (Dortmund) MSC: 92E10 05C92 05C09 05C07 05C12 05C31 05C76 PDFBibTeX XMLCite \textit{M. Knor} and \textit{N. Tratnik}, MATCH Commun. Math. Comput. Chem. 89, No. 3, 605--629 (2023; Zbl 07735063) Full Text: DOI
Tratnik, Niko; Ye, Dong Resonance graphs on perfect matchings of graphs on surfaces. (English) Zbl 1518.05158 Graphs Comb. 39, No. 4, Paper No. 68, 15 p. (2023). MSC: 05C70 05C60 05C10 PDFBibTeX XMLCite \textit{N. Tratnik} and \textit{D. Ye}, Graphs Comb. 39, No. 4, Paper No. 68, 15 p. (2023; Zbl 1518.05158) Full Text: DOI arXiv
Brezovnik, Simon; Tratnik, Niko; Žigert Pleteršek, Petra Resonance graphs and a binary coding of perfect matchings of outerplane bipartite graphs. (English) Zbl 1519.92352 MATCH Commun. Math. Comput. Chem. 90, No. 2, 453-468 (2023). MSC: 92E10 05C92 PDFBibTeX XMLCite \textit{S. Brezovnik} et al., MATCH Commun. Math. Comput. Chem. 90, No. 2, 453--468 (2023; Zbl 1519.92352) Full Text: DOI
Brezovnik, Simon; Tratnik, Niko Generalized cut method for computing Szeged-like polynomials with applications to polyphenyls and carbon nanocones. (English) Zbl 1519.92351 MATCH Commun. Math. Comput. Chem. 90, No. 2, 401-427 (2023). MSC: 92E10 05C92 05C09 PDFBibTeX XMLCite \textit{S. Brezovnik} and \textit{N. Tratnik}, MATCH Commun. Math. Comput. Chem. 90, No. 2, 401--427 (2023; Zbl 1519.92351) Full Text: DOI
Brezovnik, Simon; Dehmer, Matthias; Tratnik, Niko; Žigert Pleteršek, Petra Szeged and Mostar root-indices of graphs. (English) Zbl 1511.05045 Appl. Math. Comput. 442, Article ID 127736, 11 p. (2023). MSC: 05C09 05C12 05C31 05C92 40A05 92E10 PDFBibTeX XMLCite \textit{S. Brezovnik} et al., Appl. Math. Comput. 442, Article ID 127736, 11 p. (2023; Zbl 1511.05045) Full Text: DOI
Brezovnik, Simon; Che, Zhongyuan; Tratnik, Niko; Pleteršek, Petra Žigert Resonance graphs of plane bipartite graphs as daisy cubes. arXiv:2311.06508 Preprint, arXiv:2311.06508 [math.CO] (2023). MSC: 05C10 05C70 05C75 05C92 05C76 BibTeX Cite \textit{S. Brezovnik} et al., ``Resonance graphs of plane bipartite graphs as daisy cubes'', Preprint, arXiv:2311.06508 [math.CO] (2023) Full Text: arXiv OA License
Dehmer, Matthias; Emmert-Streib, Frank; Tratnik, Niko; Žigert Pleteršek, Petra Szeged-like entropies of graphs. (English) Zbl 1510.05038 Appl. Math. Comput. 431, Article ID 127325, 10 p. (2022). MSC: 05C09 05C12 05C90 05C92 94A17 PDFBibTeX XMLCite \textit{M. Dehmer} et al., Appl. Math. Comput. 431, Article ID 127325, 10 p. (2022; Zbl 1510.05038) Full Text: DOI
Furtula, Boris; Radenković, Slavko; Redžepović, Izudin; Tratnik, Niko; Pleteršek, Petra Žigert The generalized Zhang-Zhang polynomial of benzenoid systems – theory and applications. (English) Zbl 1510.05127 Appl. Math. Comput. 418, Article ID 126822, 14 p. (2022). MSC: 05C31 92E10 05C92 PDFBibTeX XMLCite \textit{B. Furtula} et al., Appl. Math. Comput. 418, Article ID 126822, 14 p. (2022; Zbl 1510.05127) Full Text: DOI
Tratnik, Niko Computing the Mostar index in networks with applications to molecular graphs. (English) Zbl 1464.92320 Iran. J. Math. Chem. 12, No. 1, 1-18 (2021). MSC: 92E10 05C92 PDFBibTeX XMLCite \textit{N. Tratnik}, Iran. J. Math. Chem. 12, No. 1, 1--18 (2021; Zbl 1464.92320) Full Text: DOI arXiv
Tratnik, Niko Generalized cut method for computing the edge-Wiener index. (English) Zbl 1441.05058 Discrete Appl. Math. 282, 222-233 (2020). MSC: 05C09 05C12 PDFBibTeX XMLCite \textit{N. Tratnik}, Discrete Appl. Math. 282, 222--233 (2020; Zbl 1441.05058) Full Text: DOI arXiv
Brezovnik, Simon; Tratnik, Niko; Žigert Pleteršek, Petra Resonance graphs of catacondensed even ring systems. (English) Zbl 1433.05306 Appl. Math. Comput. 374, Article ID 125064, 9 p. (2020). MSC: 05C92 92E10 05C70 05C10 05C90 05C12 PDFBibTeX XMLCite \textit{S. Brezovnik} et al., Appl. Math. Comput. 374, Article ID 125064, 9 p. (2020; Zbl 1433.05306) Full Text: DOI arXiv
Brezovnik, Simon; Tratnik, Niko General cut method for computing Szeged-like topological indices with applications to molecular graphs. arXiv:2009.08177 Preprint, arXiv:2009.08177 [math.CO] (2020). MSC: 05C09 05C92 05C12 05C22 92E10 BibTeX Cite \textit{S. Brezovnik} and \textit{N. Tratnik}, ``General cut method for computing Szeged-like topological indices with applications to molecular graphs'', Preprint, arXiv:2009.08177 [math.CO] (2020) Full Text: DOI arXiv OA License
Brezovnik, Simon; Tratnik, Niko; Žigert Pleteršek, Petra Resonantly equivalent catacondensed even ring systems. (English) Zbl 1472.92282 MATCH Commun. Math. Comput. Chem. 82, No. 3, 625-638 (2019). MSC: 92E10 PDFBibTeX XMLCite \textit{S. Brezovnik} et al., MATCH Commun. Math. Comput. Chem. 82, No. 3, 625--638 (2019; Zbl 1472.92282) Full Text: arXiv Link
Brezovnik, Simon; Tratnik, Niko New methods for calculating the degree distance and the Gutman index. (English) Zbl 1472.92281 MATCH Commun. Math. Comput. Chem. 82, No. 1, 111-132 (2019). MSC: 92E10 05C92 PDFBibTeX XMLCite \textit{S. Brezovnik} and \textit{N. Tratnik}, MATCH Commun. Math. Comput. Chem. 82, No. 1, 111--132 (2019; Zbl 1472.92281) Full Text: arXiv Link
Tratnik, Niko Formula for calculating the Wiener polarity index with applications to benzenoid graphs and phenylenes. (English) Zbl 1406.92787 J. Math. Chem. 57, No. 1, 370-383 (2019). MSC: 92E10 05C12 05C90 PDFBibTeX XMLCite \textit{N. Tratnik}, J. Math. Chem. 57, No. 1, 370--383 (2019; Zbl 1406.92787) Full Text: DOI arXiv
Tratnik, Niko; Žigert Pleteršek, Petra The edge-Hosoya polynomial of benzenoid chains. (English) Zbl 1406.92788 J. Math. Chem. 57, No. 1, 180-189 (2019). MSC: 92E10 05C12 05C90 PDFBibTeX XMLCite \textit{N. Tratnik} and \textit{P. Žigert Pleteršek}, J. Math. Chem. 57, No. 1, 180--189 (2019; Zbl 1406.92788) Full Text: DOI arXiv
Tratnik, Niko Computing weighted Szeged and PI indices from quotient graphs. arXiv:1904.09831 Preprint, arXiv:1904.09831 [math.CO] (2019). MSC: 92E10 05C12 05C07 BibTeX Cite \textit{N. Tratnik}, ``Computing weighted Szeged and PI indices from quotient graphs'', Preprint, arXiv:1904.09831 [math.CO] (2019) Full Text: DOI arXiv OA License
Tratnik, Niko A method for computing the edge-hyper-Wiener index of partial cubes and an algorithm for benzenoid systems. (English) Zbl 1488.92090 Appl. Anal. Discrete Math. 12, No. 1, 126-142 (2018). MSC: 92E10 05C92 05C09 PDFBibTeX XMLCite \textit{N. Tratnik}, Appl. Anal. Discrete Math. 12, No. 1, 126--142 (2018; Zbl 1488.92090) Full Text: DOI arXiv
Bašić, Nino; Estélyi, István; škrekovski, Riste; Tratnik, Niko On the Clar number of benzenoid graphs. (English) Zbl 1468.05290 MATCH Commun. Math. Comput. Chem. 80, No. 1, 173-188 (2018). MSC: 05C92 05C70 PDFBibTeX XMLCite \textit{N. Bašić} et al., MATCH Commun. Math. Comput. Chem. 80, No. 1, 173--188 (2018; Zbl 1468.05290) Full Text: arXiv
Tratnik, Niko On the Steiner hyper-Wiener index of a graph. (English) Zbl 1427.92103 Appl. Math. Comput. 337, 360-371 (2018). MSC: 92E10 05C12 05C31 05C90 PDFBibTeX XMLCite \textit{N. Tratnik}, Appl. Math. Comput. 337, 360--371 (2018; Zbl 1427.92103) Full Text: DOI arXiv
Došlić, Tomislav; Tratnik, Niko; Žigert Pleteršek, Petra Saturation number of lattice animals. (English) Zbl 1406.92751 Ars Math. Contemp. 15, No. 1, 191-204 (2018). MSC: 92E10 05C70 05C35 05C90 PDFBibTeX XMLCite \textit{T. Došlić} et al., Ars Math. Contemp. 15, No. 1, 191--204 (2018; Zbl 1406.92751) Full Text: DOI
Kelenc, Aleksander; Tratnik, Niko; Yero, Ismael G. Uniquely identifying the edges of a graph: the edge metric dimension. (English) Zbl 1401.05166 Discrete Appl. Math. 251, 204-220 (2018). MSC: 05C40 05C12 PDFBibTeX XMLCite \textit{A. Kelenc} et al., Discrete Appl. Math. 251, 204--220 (2018; Zbl 1401.05166) Full Text: DOI arXiv
Tratnik, Niko; Žigert Pleteršek, Petra The Graovac-Pisanski index of armchair tubulenes. (English) Zbl 1390.92169 J. Math. Chem. 56, No. 4, 1103-1116 (2018). MSC: 92E10 PDFBibTeX XMLCite \textit{N. Tratnik} and \textit{P. Žigert Pleteršek}, J. Math. Chem. 56, No. 4, 1103--1116 (2018; Zbl 1390.92169) Full Text: DOI arXiv
Črepnjak, Matevž; Tratnik, Niko The edge-Wiener index, the Szeged indices and the PI index of benzenoid systems in sub-linear time. (English) Zbl 1471.92412 MATCH Commun. Math. Comput. Chem. 78, No. 3, 675-688 (2017). MSC: 92E10 05C92 PDFBibTeX XMLCite \textit{M. Črepnjak} and \textit{N. Tratnik}, MATCH Commun. Math. Comput. Chem. 78, No. 3, 675--688 (2017; Zbl 1471.92412) Full Text: arXiv Link
Tratnik, Niko; Pleteršek, Petra Žigert Relationship between the Hosoya polynomial and the edge-Hosoya polynomial of trees. (English) Zbl 1471.92465 MATCH Commun. Math. Comput. Chem. 78, No. 1, 181-187 (2017). MSC: 92E10 05C92 05C31 PDFBibTeX XMLCite \textit{N. Tratnik} and \textit{P. Ž. Pleteršek}, MATCH Commun. Math. Comput. Chem. 78, No. 1, 181--187 (2017; Zbl 1471.92465) Full Text: arXiv Link
Došlić, Tomislav; Tratnik, Niko; Ye, Dong; Pleteršek, Petra Žigert On 2-cores of resonance graphs of fullerenes. (English) Zbl 1466.92259 MATCH Commun. Math. Comput. Chem. 77, No. 3, 729-736 (2017). MSC: 92E10 05C92 PDFBibTeX XMLCite \textit{T. Došlić} et al., MATCH Commun. Math. Comput. Chem. 77, No. 3, 729--736 (2017; Zbl 1466.92259) Full Text: Link
Tratnik, Niko The edge-Szeged index and the \(PI\) index of benzenoid systems in linear time. (English) Zbl 1466.92288 MATCH Commun. Math. Comput. Chem. 77, No. 2, 393-406 (2017). MSC: 92E10 05C92 PDFBibTeX XMLCite \textit{N. Tratnik}, MATCH Commun. Math. Comput. Chem. 77, No. 2, 393--406 (2017; Zbl 1466.92288) Full Text: arXiv Link
Črepnjak, Matevž; Tratnik, Niko The Szeged index and the Wiener index of partial cubes with applications to chemical graphs. (English) Zbl 1414.05100 Appl. Math. Comput. 309, 324-333 (2017). MSC: 05C12 05C90 92E10 PDFBibTeX XMLCite \textit{M. Črepnjak} and \textit{N. Tratnik}, Appl. Math. Comput. 309, 324--333 (2017; Zbl 1414.05100) Full Text: DOI arXiv
Tratnik, Niko The Graovac-Pisanski index of zig-zag tubulenes and the generalized cut method. (English) Zbl 1372.92122 J. Math. Chem. 55, No. 8, 1622-1637 (2017). MSC: 92E10 05C90 PDFBibTeX XMLCite \textit{N. Tratnik}, J. Math. Chem. 55, No. 8, 1622--1637 (2017; Zbl 1372.92122) Full Text: DOI arXiv
Tratnik, Niko; Pleteršek, Petra Žigert Saturation number of nanotubes. (English) Zbl 1377.92108 Ars Math. Contemp. 12, No. 2, 337-350 (2017). MSC: 92E10 05C69 PDFBibTeX XMLCite \textit{N. Tratnik} and \textit{P. Ž. Pleteršek}, Ars Math. Contemp. 12, No. 2, 337--350 (2017; Zbl 1377.92108) Full Text: DOI
Črepnjak, Matevž; Knor, Martin; Tratnik, Niko; Pleteršek, Petra Žigert The Graovac-Pisanski index of connected bipartite graphs with applications to hydrocarbon molecules. arXiv:1709.04189 Preprint, arXiv:1709.04189 [math.CO] (2017). MSC: 05C92 05C09 92E10 05C12 BibTeX Cite \textit{M. Črepnjak} et al., ``The Graovac-Pisanski index of connected bipartite graphs with applications to hydrocarbon molecules'', Preprint, arXiv:1709.04189 [math.CO] (2017) Full Text: DOI arXiv OA License
Tratnik, Niko The Wiener polarity index of benzenoid systems and nanotubes. arXiv:1711.03600 Preprint, arXiv:1711.03600 [math.CO] (2017). MSC: 92E10 05C12 05C90 BibTeX Cite \textit{N. Tratnik}, ``The Wiener polarity index of benzenoid systems and nanotubes'', Preprint, arXiv:1711.03600 [math.CO] (2017) Full Text: arXiv OA License
Črepnjak, Matevž; Tratnik, Niko; Pleteršek, Petra Žigert Predicting Melting Points by the Graovac-Pisanski Index. arXiv:1709.01832 Preprint, arXiv:1709.01832 [math.CO] (2017). MSC: 92E10 62J02 62J05 BibTeX Cite \textit{M. Črepnjak} et al., ``Predicting Melting Points by the Graovac-Pisanski Index'', Preprint, arXiv:1709.01832 [math.CO] (2017) Full Text: DOI arXiv OA License
Ferčec, Brigita; Tratnik, Niko Weighted averages and the friendship paradox. (Slovenian. English summary) Zbl 1367.91156 Obz. Mat. Fiz. 63, No. 1, 1-9 (2016). MSC: 91D30 PDFBibTeX XMLCite \textit{B. Ferčec} and \textit{N. Tratnik}, Obz. Mat. Fiz. 63, No. 1, 1--9 (2016; Zbl 1367.91156)
Tratnik, Niko; Pleteršek, Petra Žigert Resonance graphs of fullerenes. (English) Zbl 1355.92152 Ars Math. Contemp. 11, No. 2, 425-435 (2016). MSC: 92E10 05C31 05C90 PDFBibTeX XMLCite \textit{N. Tratnik} and \textit{P. Ž. Pleteršek}, Ars Math. Contemp. 11, No. 2, 425--435 (2016; Zbl 1355.92152) Full Text: DOI
Tratnik, Niko; Žigert Pleteršek, Petra Distributive lattice structure on the set of perfect matchings of carbon nanotubes. (English) Zbl 1345.92169 J. Math. Chem. 54, No. 6, 1296-1305 (2016). MSC: 92E10 82D80 05C90 PDFBibTeX XMLCite \textit{N. Tratnik} and \textit{P. Žigert Pleteršek}, J. Math. Chem. 54, No. 6, 1296--1305 (2016; Zbl 1345.92169) Full Text: DOI
Kelenc, Aleksander; Klavžar, Sandi; Tratnik, Niko The edge-Wiener index of benzenoid systems in linear time. (English) Zbl 1462.05087 MATCH Commun. Math. Comput. Chem. 74, No. 3, 521-532 (2015). MSC: 05C09 05C92 92E10 05C12 PDFBibTeX XMLCite \textit{A. Kelenc} et al., MATCH Commun. Math. Comput. Chem. 74, No. 3, 521--532 (2015; Zbl 1462.05087)
Tratnik, Niko; Žigert Pleteršek, Petra Connected components of resonance graphs of carbon nanotubes. (English) Zbl 1464.05343 MATCH Commun. Math. Comput. Chem. 74, No. 1, 187-200 (2015). MSC: 05C92 05C70 92E10 PDFBibTeX XMLCite \textit{N. Tratnik} and \textit{P. Žigert Pleteršek}, MATCH Commun. Math. Comput. Chem. 74, No. 1, 187--200 (2015; Zbl 1464.05343)
Tratnik, Niko; Žigert Pleteršek, Petra Some properties of carbon nanotubes and their resonance graphs. (English) Zbl 1464.05342 MATCH Commun. Math. Comput. Chem. 74, No. 1, 175-186 (2015). MSC: 05C92 92E10 11B39 05C70 PDFBibTeX XMLCite \textit{N. Tratnik} and \textit{P. Žigert Pleteršek}, MATCH Commun. Math. Comput. Chem. 74, No. 1, 175--186 (2015; Zbl 1464.05342)
Berlič, Martina; Tratnik, Niko; Žigert Pleteršek, Petra Equivalence of Zhang-Zhang polynomial and cube polynomial for spherical benzenoid systems. (English) Zbl 1462.05185 MATCH Commun. Math. Comput. Chem. 73, No. 2, 443-456 (2015). MSC: 05C31 05C92 92E10 PDFBibTeX XMLCite \textit{M. Berlič} et al., MATCH Commun. Math. Comput. Chem. 73, No. 2, 443--456 (2015; Zbl 1462.05185)
Roškarič, Matej; Tratnik, Niko Cardinality of inverse limits with upper semicontinuous bonding functions. (English) Zbl 1418.54009 Bull. Aust. Math. Soc. 91, No. 1, 167-174 (2015). MSC: 54C60 54B10 54F15 PDFBibTeX XMLCite \textit{M. Roškarič} and \textit{N. Tratnik}, Bull. Aust. Math. Soc. 91, No. 1, 167--174 (2015; Zbl 1418.54009) Full Text: DOI