Došlić, Tomislav; Németh, László; Podrug, Luka Hosoya index of thorny polymers. (English) Zbl 07782000 Discrete Appl. Math. 343, 277-287 (2024). MSC: 05C09 05C92 05C70 92E10 11B39 PDFBibTeX XMLCite \textit{T. Došlić} et al., Discrete Appl. Math. 343, 277--287 (2024; Zbl 07782000) Full Text: DOI
Poureidi, Abolfazl Counting independent sets in tricyclic graphs. (English) Zbl 1510.05120 Discrete Appl. Math. 331, 138-146 (2023). MSC: 05C30 05C69 92E10 05C92 05C09 PDFBibTeX XMLCite \textit{A. Poureidi}, Discrete Appl. Math. 331, 138--146 (2023; Zbl 1510.05120) Full Text: DOI
De Ita, Guillermo; Bello, Pedro; Contreras, Meliza A method for computing the Merrifield-Simmons index on benzenoid systems. (English) Zbl 1505.92274 MATCH Commun. Math. Comput. Chem. 89, No. 1, 245-270 (2023). MSC: 92E10 05C92 05C09 PDFBibTeX XMLCite \textit{G. De Ita} et al., MATCH Commun. Math. Comput. Chem. 89, No. 1, 245--270 (2023; Zbl 1505.92274) Full Text: DOI
Katkov, Mikhail; Naim, Michelangelo; Georgiou, Antonios; Tsodyks, Misha Mathematical models of human memory. (English) Zbl 1509.92009 J. Math. Phys. 63, No. 7, Article ID 073303, 13 p. (2022); erratum ibid. 64, No. 2, Article ID 029901, 1 p. (2023). MSC: 92C20 92B20 91E10 PDFBibTeX XMLCite \textit{M. Katkov} et al., J. Math. Phys. 63, No. 7, Article ID 073303, 13 p. (2022; Zbl 1509.92009) Full Text: DOI
Das, Kinkar Chandra; Elumalai, Suresh; Ghosh, Surojit; Mansour, Toufik On the Merrifield-Simmons index of tricyclic graphs. (English) Zbl 1498.05069 Discrete Appl. Math. 322, 342-354 (2022). MSC: 05C09 05C69 05C92 92E10 11B39 PDFBibTeX XMLCite \textit{K. C. Das} et al., Discrete Appl. Math. 322, 342--354 (2022; Zbl 1498.05069) Full Text: DOI
Bienvenu, François; Cardona, Gabriel; Scornavacca, Celine Revisiting Shao and Sokal’s \(B_2\) index of phylogenetic balance. (English) Zbl 1475.92115 J. Math. Biol. 83, No. 5, Paper No. 52, 43 p. (2021). MSC: 92D15 28D20 05C90 PDFBibTeX XMLCite \textit{F. Bienvenu} et al., J. Math. Biol. 83, No. 5, Paper No. 52, 43 p. (2021; Zbl 1475.92115) Full Text: DOI arXiv
Domicolo, Carly; Mahmoud, Hosam Degree-based Gini index for graphs. (English) Zbl 1440.05066 Probab. Eng. Inf. Sci. 34, No. 2, 157-171 (2020). MSC: 05C09 92E10 05C92 05C80 05C05 05C12 PDFBibTeX XMLCite \textit{C. Domicolo} and \textit{H. Mahmoud}, Probab. Eng. Inf. Sci. 34, No. 2, 157--171 (2020; Zbl 1440.05066) Full Text: DOI
Paul, Elijah; Pogudin, Gleb; Qin, William; Laubenbacher, Reinhard The dynamics of canalizing Boolean networks. (English) Zbl 1432.92039 Complexity 2020, Article ID 3687961, 14 p. (2020). MSC: 92C42 PDFBibTeX XMLCite \textit{E. Paul} et al., Complexity 2020, Article ID 3687961, 14 p. (2020; Zbl 1432.92039) Full Text: DOI arXiv
Tian, Wenwen; Zhao, Fei; Sun, Zheng; Mei, Xuesong; Chen, Guangde Orderings of a class of trees with respect to the Merrifield-Simmons index and the Hosoya index. (English) Zbl 1431.05045 J. Comb. Optim. 38, No. 4, 1286-1295 (2019). MSC: 05C09 05C92 92E10 05C05 05C35 PDFBibTeX XMLCite \textit{W. Tian} et al., J. Comb. Optim. 38, No. 4, 1286--1295 (2019; Zbl 1431.05045) Full Text: DOI
Wei, Wei; Li, Shuchao Extremal phenylene chains with respect to the coefficients sum of the permanental polynomial, the spectral radius, the Hosoya index and the Merrifield-Simmons index. (English) Zbl 1428.05156 Discrete Appl. Math. 271, 205-217 (2019). MSC: 05C35 05C50 05C31 05C90 92E10 PDFBibTeX XMLCite \textit{W. Wei} and \textit{S. Li}, Discrete Appl. Math. 271, 205--217 (2019; Zbl 1428.05156) Full Text: DOI
Fuchs, Michael; Gittenberger, Bernhard; Mansouri, Marefatollah Counting phylogenetic networks with few reticulation vertices: tree-child and normal networks. (English) Zbl 1411.05240 Australas. J. Comb. 73, Part 2, 385-423 (2019). MSC: 05C82 05C90 92D15 PDFBibTeX XMLCite \textit{M. Fuchs} et al., Australas. J. Comb. 73, Part 2, 385--423 (2019; Zbl 1411.05240) Full Text: arXiv Link
Huang, Yufeng; Shi, Lingsheng; Xu, Xingyu The Hosoya index and the Merrifield-Simmons index. (English) Zbl 1406.92765 J. Math. Chem. 56, No. 10, 3136-3146 (2018). MSC: 92E10 05C90 PDFBibTeX XMLCite \textit{Y. Huang} et al., J. Math. Chem. 56, No. 10, 3136--3146 (2018; Zbl 1406.92765) Full Text: DOI
Balaji, Hrishikesh; Mahmoud, Hosam The Gini index of random trees with an application to caterpillars. (English) Zbl 1396.05097 J. Appl. Probab. 54, No. 3, 701-709 (2017). MSC: 05C80 05C05 05C12 05C90 92E10 60C05 PDFBibTeX XMLCite \textit{H. Balaji} and \textit{H. Mahmoud}, J. Appl. Probab. 54, No. 3, 701--709 (2017; Zbl 1396.05097) Full Text: DOI
Hamzeh, Asma; Iranmanesh, Ali; Hossein-Zadeh, Samaneh; Hosseinzadeh, Mohammad Ali The Hosoya index and the Merrifield-Simmons index of some nanostructures. (English) Zbl 1360.92136 Ashrafi, Ali Reza (ed.) et al., Distance, symmetry, and topology in carbon nanomaterials. Cham: Springer (ISBN 978-3-319-31582-9/hbk; 978-3-319-31584-3/ebook). Carbon Materials: Chemistry and Physics 9, 269-280 (2016). MSC: 92E10 05C10 05C90 PDFBibTeX XMLCite \textit{A. Hamzeh} et al., Carbon Mater.: Chem. Phys. 9, 269--280 (2016; Zbl 1360.92136) Full Text: DOI
Keller, Peter; Antal, Tibor Mutant number distribution in an exponentially growing population. (English) Zbl 1456.92050 J. Stat. Mech. Theory Exp. 2015, No. 1, Paper No. P01011, 29 p. (2015). MSC: 92C37 92D10 60J85 PDFBibTeX XMLCite \textit{P. Keller} and \textit{T. Antal}, J. Stat. Mech. Theory Exp. 2015, No. 1, Paper No. P01011, 29 p. (2015; Zbl 1456.92050) Full Text: DOI arXiv
Chen, Ailian Merrifield-simmons index in random phenylene chains and random hexagon chains. (English) Zbl 1418.92238 Discrete Dyn. Nat. Soc. 2015, Article ID 568926, 7 p. (2015). MSC: 92E10 05C90 PDFBibTeX XMLCite \textit{A. Chen}, Discrete Dyn. Nat. Soc. 2015, Article ID 568926, 7 p. (2015; Zbl 1418.92238) Full Text: DOI
Romani, Sandro; Pinkoviezky, Itai; Rubin, Alon; Tsodyks, Misha Scaling laws of associative memory retrieval. (English) Zbl 1448.92049 Neural Comput. 25, No. 10, 2523-2544 (2013). MSC: 92C20 PDFBibTeX XMLCite \textit{S. Romani} et al., Neural Comput. 25, No. 10, 2523--2544 (2013; Zbl 1448.92049) Full Text: DOI
Ehrenfeucht, Andrzej; Main, Michael; Rozenberg, Grzegorz; Brown, Allison Thompson Stability and chaos in reaction systems. (English) Zbl 1279.68094 Int. J. Found. Comput. Sci. 23, No. 5, 1173-1184 (2012). MSC: 68Q10 92C42 37N25 92C40 68Q05 PDFBibTeX XMLCite \textit{A. Ehrenfeucht} et al., Int. J. Found. Comput. Sci. 23, No. 5, 1173--1184 (2012; Zbl 1279.68094) Full Text: DOI
Chang, Huilan; Fuchs, Michael Limit theorems for patterns in phylogenetic trees. (English) Zbl 1311.92135 J. Math. Biol. 60, No. 4, 481-512 (2010). MSC: 92D15 05C05 05C90 60F05 PDFBibTeX XMLCite \textit{H. Chang} and \textit{M. Fuchs}, J. Math. Biol. 60, No. 4, 481--512 (2010; Zbl 1311.92135) Full Text: DOI
Zheng, Qi A new discrete distribution induced by the Luria-Delbrück mutation model. (English) Zbl 1283.60024 Statistics 44, No. 5, 529-540 (2010). MSC: 60E07 60J27 30B10 92C37 PDFBibTeX XMLCite \textit{Q. Zheng}, Statistics 44, No. 5, 529--540 (2010; Zbl 1283.60024) Full Text: DOI
Wagner, Stephan; Gutman, Ivan Maxima and minima of the Hosoya index and the Merrifield-Simmons index. (English) Zbl 1201.92068 Acta Appl. Math. 112, No. 3, 323-346 (2010). MSC: 92E10 05C35 05C90 05C70 PDFBibTeX XMLCite \textit{S. Wagner} and \textit{I. Gutman}, Acta Appl. Math. 112, No. 3, 323--346 (2010; Zbl 1201.92068) Full Text: DOI
Zhu, Zhongxun; Li, Shuchao; Tan, Liansheng Tricyclic graphs with maximum Merrifield-Simmons index. (English) Zbl 1226.05145 Discrete Appl. Math. 158, No. 3, 204-212 (2010). MSC: 05C38 05C35 05C90 92E10 PDFBibTeX XMLCite \textit{Z. Zhu} et al., Discrete Appl. Math. 158, No. 3, 204--212 (2010; Zbl 1226.05145) Full Text: DOI
Lv, Xuezheng; Yan, Yan; Yu, Aimei; Zhang, Jingjing Ordering trees with given pendent vertices with respect to Merrifield-Simmons indices and Hosoya indices. (English) Zbl 1187.92086 J. Math. Chem. 47, No. 1, 11-20 (2010). MSC: 92E10 05C05 05C90 05C70 PDFBibTeX XMLCite \textit{X. Lv} et al., J. Math. Chem. 47, No. 1, 11--20 (2010; Zbl 1187.92086) Full Text: DOI
Li, Shuchao; Li, Xuechao; Jing, Wei On the extremal Merrifield-Simmons index and Hosoya index of quasi-tree graphs. (English) Zbl 1209.05173 Discrete Appl. Math. 157, No. 13, 2877-2885 (2009). MSC: 05C69 05C35 05C90 92E10 PDFBibTeX XMLCite \textit{S. Li} et al., Discrete Appl. Math. 157, No. 13, 2877--2885 (2009; Zbl 1209.05173) Full Text: DOI
Zheng, Qi Remarks on the asymptotics of the Luria–Delbrück and related distributions. (English) Zbl 1185.60014 J. Appl. Probab. 46, No. 4, 1221-1224 (2009). MSC: 60E05 92D10 PDFBibTeX XMLCite \textit{Q. Zheng}, J. Appl. Probab. 46, No. 4, 1221--1224 (2009; Zbl 1185.60014) Full Text: DOI
Bruyère, Véronique; Mélot, Hadrien Fibonacci index and stability number of graphs: a polyhedral study. (English) Zbl 1203.05074 J. Comb. Optim. 18, No. 3, 207-228 (2009). MSC: 05C35 05C69 05C90 92E10 PDFBibTeX XMLCite \textit{V. Bruyère} and \textit{H. Mélot}, J. Comb. Optim. 18, No. 3, 207--228 (2009; Zbl 1203.05074) Full Text: DOI arXiv
Heuberger, Clemens; Wagner, Stephan G. Chemical trees minimizing energy and Hosoya index. (English) Zbl 1182.92071 J. Math. Chem. 46, No. 1, 214-230 (2009). MSC: 92E10 05C90 05C05 PDFBibTeX XMLCite \textit{C. Heuberger} and \textit{S. G. Wagner}, J. Math. Chem. 46, No. 1, 214--230 (2009; Zbl 1182.92071) Full Text: DOI arXiv
Jin, Emma Y.; Reidys, Christian M. Combinatorial design of pseudoknot RNA. (English) Zbl 1156.92018 Adv. Appl. Math. 42, No. 2, 135-151 (2009). MSC: 92C40 05A16 92-08 PDFBibTeX XMLCite \textit{E. Y. Jin} and \textit{C. M. Reidys}, Adv. Appl. Math. 42, No. 2, 135--151 (2009; Zbl 1156.92018) Full Text: DOI
Jin, Emma Y.; Reidys, Christian M. Asymptotic enumeration of RNA structures with pseudoknots. (English) Zbl 1152.92007 Bull. Math. Biol. 70, No. 4, 951-970 (2008). MSC: 92C40 05A16 PDFBibTeX XMLCite \textit{E. Y. Jin} and \textit{C. M. Reidys}, Bull. Math. Biol. 70, No. 4, 951--970 (2008; Zbl 1152.92007) Full Text: DOI arXiv
Wang, Hongzhuan; Hua, Hongbo Unicycle graphs with extremal Merrifield-Simmons index. (English) Zbl 1143.05061 J. Math. Chem. 43, No. 1, 202-209 (2008). MSC: 05C69 05C38 92E10 PDFBibTeX XMLCite \textit{H. Wang} and \textit{H. Hua}, J. Math. Chem. 43, No. 1, 202--209 (2008; Zbl 1143.05061) Full Text: DOI
Yu, Aimei; Lv, Xuezheng The Merrifield - Simmons indices and Hosoya indices of trees with \(k\) pendant vertices. (English) Zbl 1110.92064 J. Math. Chem. 41, No. 1, 33-43 (2007). MSC: 92E10 05C05 05C90 PDFBibTeX XMLCite \textit{A. Yu} and \textit{X. Lv}, J. Math. Chem. 41, No. 1, 33--43 (2007; Zbl 1110.92064) Full Text: DOI
Blum, Michael G. B.; François, Olivier; Janson, Svante The mean, variance and limiting distribution of two statistics sensitive to phylogenetic tree balance. (English) Zbl 1124.05025 Ann. Appl. Probab. 16, No. 4, 2195-2214 (2006). Reviewer: Péter L. Erdős (Budapest) MSC: 05C05 60F05 60C05 92D15 62P10 PDFBibTeX XMLCite \textit{M. G. B. Blum} et al., Ann. Appl. Probab. 16, No. 4, 2195--2214 (2006; Zbl 1124.05025) Full Text: DOI arXiv
Möhle, M. Convergence results for compound Poisson distributions and applications to the standard Luria-Delbrück distribution. (English) Zbl 1086.60014 J. Appl. Probab. 42, No. 3, 620-631 (2005). Reviewer: Andrew D. Barbour (Zürich) MSC: 60F05 92D15 60E10 92D10 PDFBibTeX XMLCite \textit{M. Möhle}, J. Appl. Probab. 42, No. 3, 620--631 (2005; Zbl 1086.60014) Full Text: DOI
Chen, William Y. C.; Deng, Eva Y. P.; Du, Rosena R. X. Reduction of \(m\)-regular noncrossing partitions. (English) Zbl 1059.05011 Eur. J. Comb. 26, No. 2, 237-243 (2005). MSC: 05A18 05A15 92D20 PDFBibTeX XMLCite \textit{W. Y. C. Chen} et al., Eur. J. Comb. 26, No. 2, 237--243 (2005; Zbl 1059.05011) Full Text: DOI arXiv
Zheng, Qi Progress of a half century in the study of the Luria-Delbrück distribution. (English) Zbl 0947.92024 Math. Biosci. 162, No. 1-2, 1-32 (1999). MSC: 92D15 60G35 92D10 PDFBibTeX XMLCite \textit{Q. Zheng}, Math. Biosci. 162, No. 1--2, 1--32 (1999; Zbl 0947.92024) Full Text: DOI