Chen, Tengjie; Yuan, Zhenhua; Peng, Junhao The normalized Laplacian spectrum of \(n\)-polygon graphs and applications. (English) Zbl 07808505 Linear Multilinear Algebra 72, No. 2, 234-260 (2024). MSC: 05C50 05C81 PDFBibTeX XMLCite \textit{T. Chen} et al., Linear Multilinear Algebra 72, No. 2, 234--260 (2024; Zbl 07808505) Full Text: DOI arXiv
Hartman, David; Pokorná, Aneta; Valtr, Pavel On the connectivity and the diameter of betweenness-uniform graphs. (English) Zbl 07794313 Discrete Appl. Math. 342, 27-37 (2024). MSC: 05C12 05C35 05C38 05C40 PDFBibTeX XMLCite \textit{D. Hartman} et al., Discrete Appl. Math. 342, 27--37 (2024; Zbl 07794313) Full Text: DOI
Zhu, Mingzhe; Sun, Haoxin; Li, Wei; Zhang, Zhongzhi Modeling spatial networks by contact graphs of disk packings. (English) Zbl 1520.05092 Theor. Comput. Sci. 973, Article ID 114066, 29 p. (2023). MSC: 05C82 68R10 PDFBibTeX XMLCite \textit{M. Zhu} et al., Theor. Comput. Sci. 973, Article ID 114066, 29 p. (2023; Zbl 1520.05092) Full Text: DOI
Niu, Baohua; Zhou, Shuming; Zhang, Hong The normalized Laplacian spectrum of folded hypercube with applications. (English) Zbl 1518.05127 Parallel Process. Lett. 33, No. 1-2, Article ID 2330001, 12 p. (2023). MSC: 05C50 05C82 PDFBibTeX XMLCite \textit{B. Niu} et al., Parallel Process. Lett. 33, No. 1--2, Article ID 2330001, 12 p. (2023; Zbl 1518.05127) Full Text: DOI
Zhu, Xingchao; Zhu, Zhiyong Spectral analysis for weighted level-4 Sierpiński graphs and its applications. (English) Zbl 1519.05110 Fractals 31, No. 5, Article ID 2350049, 20 p. (2023). MSC: 05C22 05C50 05C05 28A80 05C82 PDFBibTeX XMLCite \textit{X. Zhu} and \textit{Z. Zhu}, Fractals 31, No. 5, Article ID 2350049, 20 p. (2023; Zbl 1519.05110) Full Text: DOI
Muthuraman, S.; Rajkumar, R. Spectral analysis of weighted neighborhood networks. (English) Zbl 1516.05128 Discrete Math. Algorithms Appl. 15, No. 6, Article ID 2250141, 18 p. (2023). MSC: 05C50 05C82 PDFBibTeX XMLCite \textit{S. Muthuraman} and \textit{R. Rajkumar}, Discrete Math. Algorithms Appl. 15, No. 6, Article ID 2250141, 18 p. (2023; Zbl 1516.05128) Full Text: DOI
Chen, Hanlin The Tutte polynomial of a class of compound graphs and its applications. (English) Zbl 1516.05105 Discrete Math. Algorithms Appl. 15, No. 1, Article ID 2250058, 20 p. (2023). MSC: 05C31 05C15 05C35 PDFBibTeX XMLCite \textit{H. Chen}, Discrete Math. Algorithms Appl. 15, No. 1, Article ID 2250058, 20 p. (2023; Zbl 1516.05105) Full Text: DOI
Xie, Zixuan; Wang, Yucheng; Xu, Wanyue; Zhu, Liwang; Li, Wei; Zhang, Zhongzhi Combinatorial properties for a class of simplicial complexes extended from pseudo-fractal scale-free web. (English) Zbl 1517.05184 Fractals 31, No. 3, Article ID 2350022, 14 p. (2023). MSC: 05E45 05C15 68R10 28A80 PDFBibTeX XMLCite \textit{Z. Xie} et al., Fractals 31, No. 3, Article ID 2350022, 14 p. (2023; Zbl 1517.05184) Full Text: DOI arXiv
Wang, Junming; Tao, Qiuzhenyu Bounds on Kemeny’s constant of trees with a prescribed matching number. (English) Zbl 1512.05339 Discrete Appl. Math. 333, 121-131 (2023). MSC: 05C70 05C81 60J10 15A09 PDFBibTeX XMLCite \textit{J. Wang} and \textit{Q. Tao}, Discrete Appl. Math. 333, 121--131 (2023; Zbl 1512.05339) Full Text: DOI
Su, Jing; Wang, Xiaomin; Zhang, Mingjun; Yao, Bing Eigenvalues of transition weight matrix for a family of weighted networks. (English) Zbl 1503.05079 Open Math. 20, 1296-1308 (2022). MSC: 05C50 05C81 05C82 PDFBibTeX XMLCite \textit{J. Su} et al., Open Math. 20, 1296--1308 (2022; Zbl 1503.05079) Full Text: DOI
Chandra Das, Kinkar; Bakaein, Samane; Tavakoli, Mostafa; Rahbarnia, Freydoon; Ashraf, Alireza List coloring under some graph operations. (English) Zbl 1513.05147 Kragujevac J. Math. 46, No. 3, 417-431 (2022). MSC: 05C15 05C76 PDFBibTeX XMLCite \textit{K. Chandra Das} et al., Kragujevac J. Math. 46, No. 3, 417--431 (2022; Zbl 1513.05147) Full Text: Link
Sun, Daoqiang; Li, Long; Liu, Kai; Wang, Hua; Yang, Yu Enumeration of subtrees of planar two-tree networks. (English) Zbl 1510.05121 Appl. Math. Comput. 434, Article ID 127404, 13 p. (2022). MSC: 05C30 05C85 68R10 PDFBibTeX XMLCite \textit{D. Sun} et al., Appl. Math. Comput. 434, Article ID 127404, 13 p. (2022; Zbl 1510.05121) Full Text: DOI
Cao, Yanhua; Li, Shuchao; Xu, Baogen Explicit determination of three invariants associated with random walks on \(n\)-prism networks. (English) Zbl 1492.05085 Linear Multilinear Algebra 70, No. 10, 1854-1870 (2022). MSC: 05C50 05C09 05C30 05C81 PDFBibTeX XMLCite \textit{Y. Cao} et al., Linear Multilinear Algebra 70, No. 10, 1854--1870 (2022; Zbl 1492.05085) Full Text: DOI
Mahdavi, B. Akhavan; Tavakoli, M.; Rahbarnia, F.; Ashrafi, Alireza Star coloring under some graph operations. (English) Zbl 1487.05097 Asian-Eur. J. Math. 15, No. 4, Article ID 2250079, 7 p. (2022). MSC: 05C15 05C76 PDFBibTeX XMLCite \textit{B. A. Mahdavi} et al., Asian-Eur. J. Math. 15, No. 4, Article ID 2250079, 7 p. (2022; Zbl 1487.05097) Full Text: DOI
Guo, Yuanyuan; Dai, Meifeng; Liu, Yan Leader-follower coherence of the weighted recursive tree networks. (English) Zbl 1490.05251 Fractals 30, No. 3, Article ID 2250049, 10 p. (2022). MSC: 05C82 05C50 PDFBibTeX XMLCite \textit{Y. Guo} et al., Fractals 30, No. 3, Article ID 2250049, 10 p. (2022; Zbl 1490.05251) Full Text: DOI
Wang, Xiaoqian; Wang, Lu Consensus analysis in hierarchical networked systems. (English) Zbl 1490.05253 Fractals 30, No. 3, Article ID 2250047, 13 p. (2022). MSC: 05C82 05C50 93D20 PDFBibTeX XMLCite \textit{X. Wang} and \textit{L. Wang}, Fractals 30, No. 3, Article ID 2250047, 13 p. (2022; Zbl 1490.05253) Full Text: DOI
Darayon, Chayapa; Tangjai, Wipawee Rainbow vertex-connection number on a small-world Farey graph. (English) Zbl 1487.05248 AKCE Int. J. Graphs Comb. 19, No. 1, 54-60 (2022). MSC: 05C82 05C15 05C40 PDFBibTeX XMLCite \textit{C. Darayon} and \textit{W. Tangjai}, AKCE Int. J. Graphs Comb. 19, No. 1, 54--60 (2022; Zbl 1487.05248) Full Text: DOI
Ganie, Hilal A. On the \(A_\alpha\)-spectrum of joined union of digraphs. (English) Zbl 1482.05136 Discrete Math. Algorithms Appl. 14, No. 1, Article ID 2150086, 17 p. (2022). MSC: 05C20 05C50 05C76 PDFBibTeX XMLCite \textit{H. A. Ganie}, Discrete Math. Algorithms Appl. 14, No. 1, Article ID 2150086, 17 p. (2022; Zbl 1482.05136) Full Text: DOI
Rajkumar, R.; Pavithra, R. Spectra of \(M\)-rooted product of graphs. (English) Zbl 1482.05285 Linear Multilinear Algebra 70, No. 1, 1-26 (2022). Reviewer: Dominic van der Zypen (Münsingen) MSC: 05C76 05C50 PDFBibTeX XMLCite \textit{R. Rajkumar} and \textit{R. Pavithra}, Linear Multilinear Algebra 70, No. 1, 1--26 (2022; Zbl 1482.05285) Full Text: DOI
Guo, Zhengyu; Jia, Dongdong; Zhang, Gengsheng Some constructions of quasi-strongly regular digraphs. (English) Zbl 1479.05365 Graphs Comb. 38, No. 1, Paper No. 15, 16 p. (2022). MSC: 05E30 05C20 05C50 05C76 PDFBibTeX XMLCite \textit{Z. Guo} et al., Graphs Comb. 38, No. 1, Paper No. 15, 16 p. (2022; Zbl 1479.05365) Full Text: DOI
Feng, Qunqiang; Wang, Yongkang; Hu, Zhishui Small-world effect in geographical attachment networks. (English) Zbl 1498.05240 Probab. Eng. Inf. Sci. 35, No. 2, 276-296 (2021). MSC: 05C80 05C82 90B15 60J85 PDFBibTeX XMLCite \textit{Q. Feng} et al., Probab. Eng. Inf. Sci. 35, No. 2, 276--296 (2021; Zbl 1498.05240) Full Text: DOI
Martínez, Abel Cabrera; Peterin, Iztok; Yero, Ismael G. Roman domination in direct product graphs and rooted product graphs. (English) Zbl 1525.05148 AIMS Math. 6, No. 10, 11084-11096 (2021). MSC: 05C69 05C76 05C35 PDFBibTeX XMLCite \textit{A. C. Martínez} et al., AIMS Math. 6, No. 10, 11084--11096 (2021; Zbl 1525.05148) Full Text: DOI arXiv
Pattabiraman, K.; Suganya, T. Inverse connective eccentricity index and its applications. (English) Zbl 1499.05150 Casp. J. Math. Sci. 10, No. 2, 269-280 (2021). MSC: 05C09 05C92 92E10 05C12 05C76 PDFBibTeX XMLCite \textit{K. Pattabiraman} and \textit{T. Suganya}, Casp. J. Math. Sci. 10, No. 2, 269--280 (2021; Zbl 1499.05150) Full Text: DOI
Chen, Jing; Jing, Ting; Sun, Weigang Robustness of network coherence in asymmetric unicyclic graphs. (English) Zbl 1492.05145 Int. J. Mod. Phys. B 35, No. 29, Article ID 2150301, 11 p. (2021). MSC: 05C82 05C38 90B10 PDFBibTeX XMLCite \textit{J. Chen} et al., Int. J. Mod. Phys. B 35, No. 29, Article ID 2150301, 11 p. (2021; Zbl 1492.05145) Full Text: DOI
Ghouchan, Mohammad Farrokhi Derakhshandeh; Ghorbani, Ebrahim; Maimani, Hamid Reza; Mahid, Farhad Rahimi Some algebraic properties of Sierpiński-type graphs. (English) Zbl 1485.05101 Ars Math. Contemp. 20, No. 2, 171-186 (2021). MSC: 05C50 05C25 05C75 PDFBibTeX XMLCite \textit{M. F. D. Ghouchan} et al., Ars Math. Contemp. 20, No. 2, 171--186 (2021; Zbl 1485.05101) Full Text: DOI
Plümer, Marvin Upper eigenvalue bounds for the Kirchhoff Laplacian on embedded metric graphs. (English) Zbl 1484.35302 J. Spectr. Theory 11, No. 4, 1857-1894 (2021). MSC: 35P15 34B45 05C50 05C10 47B39 81Q35 PDFBibTeX XMLCite \textit{M. Plümer}, J. Spectr. Theory 11, No. 4, 1857--1894 (2021; Zbl 1484.35302) Full Text: DOI arXiv
Zhou, Xiaotian; Zhang, Zhongzhi Edge domination number and the number of minimum edge dominating sets in pseudofractal scale-free web and Sierpiński gasket. (English) Zbl 1481.05121 Fractals 29, No. 7, Article ID 2150209, 13 p. (2021). MSC: 05C69 28A80 68R10 PDFBibTeX XMLCite \textit{X. Zhou} and \textit{Z. Zhang}, Fractals 29, No. 7, Article ID 2150209, 13 p. (2021; Zbl 1481.05121) Full Text: DOI arXiv
Huang, Yuke; Zhang, Hanxiong; Xue, Yumei Fractal networks on Dürer-type polygon. (English) Zbl 07465593 Fractals 29, No. 4, Article ID 2150090, 13 p. (2021). MSC: 05C82 05C38 05C12 28A80 PDFBibTeX XMLCite \textit{Y. Huang} et al., Fractals 29, No. 4, Article ID 2150090, 13 p. (2021; Zbl 07465593) Full Text: DOI
Pavithra, R.; Rajkumar, R. Spectra of \(M\)-edge rooted product of graphs. (English) Zbl 1477.05110 Indian J. Pure Appl. Math. 52, No. 4, 1235-1255 (2021). MSC: 05C50 05C76 PDFBibTeX XMLCite \textit{R. Pavithra} and \textit{R. Rajkumar}, Indian J. Pure Appl. Math. 52, No. 4, 1235--1255 (2021; Zbl 1477.05110) Full Text: DOI
Liu, Juan; Zhang, Xindong; Chen, Xing The domination number of wrapped butterfly digraphs. (English) Zbl 1497.05187 Appl. Math. Comput. 409, Article ID 126407, 8 p. (2021). MSC: 05C62 PDFBibTeX XMLCite \textit{J. Liu} et al., Appl. Math. Comput. 409, Article ID 126407, 8 p. (2021; Zbl 1497.05187) Full Text: DOI
Palacios, José Luis; Markowsky, Greg Kemeny’s constant and the Kirchhoff index for the cluster of highly symmetric graphs. (English) Zbl 1510.05268 Appl. Math. Comput. 406, Article ID 126283, 6 p. (2021). MSC: 05C81 92E10 05C09 PDFBibTeX XMLCite \textit{J. L. Palacios} and \textit{G. Markowsky}, Appl. Math. Comput. 406, Article ID 126283, 6 p. (2021; Zbl 1510.05268) Full Text: DOI arXiv
Chang, Caibing; Ren, Haizhen; Deng, Zijian; Deng, Bo The \(\rho\)-moments of vertex-weighted graphs. (English) Zbl 1508.05026 Appl. Math. Comput. 400, Article ID 126070, 12 p. (2021). MSC: 05C09 PDFBibTeX XMLCite \textit{C. Chang} et al., Appl. Math. Comput. 400, Article ID 126070, 12 p. (2021; Zbl 1508.05026) Full Text: DOI
Bakaein, Samane; Tavakoli, Mostafa; Rahbarnia, Freydoon Perfect codes in some products of graphs. (English) Zbl 1483.94075 Electron. J. Graph Theory Appl. 9, No. 1, 175-184 (2021). MSC: 94B60 05C69 05C76 PDFBibTeX XMLCite \textit{S. Bakaein} et al., Electron. J. Graph Theory Appl. 9, No. 1, 175--184 (2021; Zbl 1483.94075) Full Text: DOI
El Atik, Abd El Fattah A.; Aboutahoun, A. W.; Elsaid, A. Correct proof of the main result in “The number of spanning trees of a class of self-similar fractal models” by Ma and Yao. (English) Zbl 1512.05194 Inf. Process. Lett. 170, Article ID 106117, 8 p. (2021). MSC: 05C30 05C05 05C82 28A80 90B10 PDFBibTeX XMLCite \textit{A. E. F. A. El Atik} et al., Inf. Process. Lett. 170, Article ID 106117, 8 p. (2021; Zbl 1512.05194) Full Text: DOI
Alfaro, Carlos A.; Villagrán, Ralihe R. The structure of sandpile groups of outerplanar graphs. (English) Zbl 1478.05029 Appl. Math. Comput. 395, Article ID 125861, 16 p. (2021); corrigendum ibid. 398, Article ID 126022, 2 p. (2021). MSC: 05C10 05C25 05E18 13F20 13P10 PDFBibTeX XMLCite \textit{C. A. Alfaro} and \textit{R. R. Villagrán}, Appl. Math. Comput. 395, Article ID 125861, 16 p. (2021; Zbl 1478.05029) Full Text: DOI arXiv
Amouzegar, Tayyebeh Distinguishing number of hierarchical products of graphs. (English) Zbl 1461.05175 Bull. Sci. Math. 168, Article ID 102975, 14 p. (2021). MSC: 05C76 05C15 05C25 PDFBibTeX XMLCite \textit{T. Amouzegar}, Bull. Sci. Math. 168, Article ID 102975, 14 p. (2021; Zbl 1461.05175) Full Text: DOI
Klavžar, Sandi; Tavakoli, Mostafa Dominated and dominator colorings over (edge) corona and hierarchical products. (English) Zbl 1467.05076 Appl. Math. Comput. 390, Article ID 125647, 7 p. (2021). Reviewer: Doost Ali Mojdeh (Babolsar) MSC: 05C15 05C69 05C76 PDFBibTeX XMLCite \textit{S. Klavžar} and \textit{M. Tavakoli}, Appl. Math. Comput. 390, Article ID 125647, 7 p. (2021; Zbl 1467.05076) Full Text: DOI arXiv
Sahoo, Gopinath Complex adjacency spectra of digraphs. (English) Zbl 1459.05106 Linear Multilinear Algebra 69, No. 2, 193-207 (2021). MSC: 05C20 05C62 05C50 PDFBibTeX XMLCite \textit{G. Sahoo}, Linear Multilinear Algebra 69, No. 2, 193--207 (2021; Zbl 1459.05106) Full Text: DOI
Newman, Heather; Miranda, Hector; Flórez, Rigoberto; Narayan, Darren A. Uniform edge betweenness centrality. (English) Zbl 1468.05138 Electron. J. Graph Theory Appl. 8, No. 2, 265-300 (2020). MSC: 05C40 05C38 PDFBibTeX XMLCite \textit{H. Newman} et al., Electron. J. Graph Theory Appl. 8, No. 2, 265--300 (2020; Zbl 1468.05138) Full Text: DOI arXiv
Subramanian, Ulagammal; Joseph, Vernold Vivin On star coloring of degree splitting of comb product graphs. (English) Zbl 1488.05198 Facta Univ., Ser. Math. Inf. 35, No. 2, 507-522 (2020). MSC: 05C15 05C76 PDFBibTeX XMLCite \textit{U. Subramanian} and \textit{V. V. Joseph}, Facta Univ., Ser. Math. Inf. 35, No. 2, 507--522 (2020; Zbl 1488.05198) Full Text: DOI
Ferguson, Timothy Volume bounds for the phase-locking region in the Kuramoto model with asymmetric coupling. (English) Zbl 1467.34040 SIAM J. Appl. Dyn. Syst. 19, No. 4, 2322-2342 (2020). Reviewer: Carlo Laing (Auckland) MSC: 34C15 34D20 34D06 05C20 PDFBibTeX XMLCite \textit{T. Ferguson}, SIAM J. Appl. Dyn. Syst. 19, No. 4, 2322--2342 (2020; Zbl 1467.34040) Full Text: DOI arXiv
Ghazi, Ghazale; Rahbarnia, Freydoon; Tavakoli, Mostafa 2-distance chromatic number of some graph products. (English) Zbl 1456.05062 Discrete Math. Algorithms Appl. 12, No. 2, Article ID 2050021, 13 p. (2020). MSC: 05C15 05C76 PDFBibTeX XMLCite \textit{G. Ghazi} et al., Discrete Math. Algorithms Appl. 12, No. 2, Article ID 2050021, 13 p. (2020; Zbl 1456.05062) Full Text: DOI
Dai, Mei-Feng; Ju, Ting-Ting; Hou, Yong-Bo; Huang, Fang; Tang, Dong-Lei; Su, Wei-Yi Applications of Markov spectra for the weighted partition network by the substitution rule. (English) Zbl 1451.05216 Commun. Theor. Phys. 72, No. 5, Article ID 055602, 8 p. (2020). MSC: 05C82 05C85 PDFBibTeX XMLCite \textit{M.-F. Dai} et al., Commun. Theor. Phys. 72, No. 5, Article ID 055602, 8 p. (2020; Zbl 1451.05216) Full Text: DOI
Ma, Fei; Luo, Xudong; Wang, Ping; Zhu, Renbo Random growth networks with exponential degree distribution. (English) Zbl 1455.05071 Chaos 30, No. 11, 113120, 11 p. (2020). MSC: 05C80 05C82 05C07 PDFBibTeX XMLCite \textit{F. Ma} et al., Chaos 30, No. 11, 113120, 11 p. (2020; Zbl 1455.05071) Full Text: DOI
Pan, Yingui; Li, Jianping; Li, Shuchao; Luo, Wenjun On the normalized Laplacians with some classical parameters involving graph transformations. (English) Zbl 1448.05132 Linear Multilinear Algebra 68, No. 8, 1534-1556 (2020). Reviewer: Shariefuddin Pirzada (Srinagar) MSC: 05C50 PDFBibTeX XMLCite \textit{Y. Pan} et al., Linear Multilinear Algebra 68, No. 8, 1534--1556 (2020; Zbl 1448.05132) Full Text: DOI
Sardar, Muhammad Shoaib; Pan, Xiang-Feng; Li, Yun-Xiang Some two-vertex resistances of the three-towers Hanoi graph formed by a fractal graph. (English) Zbl 1448.05066 J. Stat. Phys. 181, No. 1, 116-131 (2020). MSC: 05C12 05C20 05C35 05C81 05C50 05C90 PDFBibTeX XMLCite \textit{M. S. Sardar} et al., J. Stat. Phys. 181, No. 1, 116--131 (2020; Zbl 1448.05066) Full Text: DOI
Imran, Muhammad; Akhter, Shehnaz; Iqbal, Zahid On the eccentric connectivity polynomial of \(\mathcal{F}\)-sum of connected graphs. (English) Zbl 1441.05126 Complexity 2020, Article ID 5061682, 9 p. (2020). MSC: 05C40 05C31 05C76 PDFBibTeX XMLCite \textit{M. Imran} et al., Complexity 2020, Article ID 5061682, 9 p. (2020; Zbl 1441.05126) Full Text: DOI
Jabbour, Said; Mhadhbi, Nizar; Raddaoui, Badran; Sais, Lakhdar SAT-based models for overlapping community detection in networks. (English) Zbl 1445.68201 Computing 102, No. 5, 1275-1299 (2020). MSC: 68T20 05C82 91D30 PDFBibTeX XMLCite \textit{S. Jabbour} et al., Computing 102, No. 5, 1275--1299 (2020; Zbl 1445.68201) Full Text: DOI
Bonato, Anthony; Chuangpishit, Huda; English, Sean; Kay, Bill; Meger, Erin The iterated local model for social networks. (English) Zbl 1444.91173 Discrete Appl. Math. 284, 556-571 (2020). MSC: 91D30 05C90 PDFBibTeX XMLCite \textit{A. Bonato} et al., Discrete Appl. Math. 284, 556--571 (2020; Zbl 1444.91173) Full Text: DOI arXiv
Zeng, Cheng; Zhou, Meng; Xue, Yumei Small-world and scale-free properties of the \(n\)-dimensional Sierpinski cube networks. (English) Zbl 1434.28043 Fractals 28, No. 1, Article ID 2050001, 7 p. (2020). MSC: 28A80 05C82 PDFBibTeX XMLCite \textit{C. Zeng} et al., Fractals 28, No. 1, Article ID 2050001, 7 p. (2020; Zbl 1434.28043) Full Text: DOI
Li, Wei-Bang; Chang, Shu-Chiuan Study of dimer-monomer on the generalized Hanoi graph. (English) Zbl 1449.05032 Comput. Appl. Math. 39, No. 2, Paper No. 77, 18 p. (2020). MSC: 05A20 05C70 82B20 PDFBibTeX XMLCite \textit{W.-B. Li} and \textit{S.-C. Chang}, Comput. Appl. Math. 39, No. 2, Paper No. 77, 18 p. (2020; Zbl 1449.05032) Full Text: DOI
Dalfó, C.; Fiol, M. A. Spectra and eigenspaces from regular partitions of Cayley (di)graphs of permutation groups. (English) Zbl 1437.05134 Linear Algebra Appl. 597, 94-112 (2020). MSC: 05C50 05C20 05C70 15A18 20C30 PDFBibTeX XMLCite \textit{C. Dalfó} and \textit{M. A. Fiol}, Linear Algebra Appl. 597, 94--112 (2020; Zbl 1437.05134) Full Text: DOI arXiv
Manuel, Paul; Klavžar, Sandi; Xavier, Antony; Arokiaraj, Andrew; Thomas, Elizabeth Strong geodetic problem in networks. (English) Zbl 1430.05028 Discuss. Math., Graph Theory 40, No. 1, 307-321 (2020). MSC: 05C12 05C82 05C70 68Q17 91D30 PDFBibTeX XMLCite \textit{P. Manuel} et al., Discuss. Math., Graph Theory 40, No. 1, 307--321 (2020; Zbl 1430.05028) Full Text: DOI
Ikeda, Nobutoshi Growth model for fractal scale-free networks generated by a random walk. (English) Zbl 1514.05146 Physica A 521, 424-434 (2019). MSC: 05C81 05C80 68M10 05C82 PDFBibTeX XMLCite \textit{N. Ikeda}, Physica A 521, 424--434 (2019; Zbl 1514.05146) Full Text: DOI
Yang, Yong; Tu, Lilan; Li, Kuanyang; Guo, Tianjiao Optimized inter-structure for enhancing the synchronizability of interdependent networks. (English) Zbl 1514.05165 Physica A 521, 310-318 (2019). MSC: 05C82 PDFBibTeX XMLCite \textit{Y. Yang} et al., Physica A 521, 310--318 (2019; Zbl 1514.05165) Full Text: DOI
Sun, Bingbin; Yao, Jialing; Xi, Lifeng Eigentime identities of fractal sailboat networks. (English) Zbl 1515.90039 Physica A 520, 338-349 (2019). MSC: 90B10 28A80 05C81 05C82 60J10 PDFBibTeX XMLCite \textit{B. Sun} et al., Physica A 520, 338--349 (2019; Zbl 1515.90039) Full Text: DOI
Dai, Meifeng; Liu, Jingyi; Chang, Jianwei; Tang, Donglei; Ju, Tingting; Sun, Yu; Su, Weiyi Eigentime identity of the weighted scale-free triangulation networks for weight-dependent walk. (English) Zbl 1514.82176 Physica A 513, 202-209 (2019). MSC: 82C41 05C82 PDFBibTeX XMLCite \textit{M. Dai} et al., Physica A 513, 202--209 (2019; Zbl 1514.82176) Full Text: DOI
Liu, Qun Resistance distance and Kirchhoff index in generalized \(R\)-vertex and \(R\)-edge corona for graphs. (English) Zbl 1499.05136 Filomat 33, No. 6, 1593-1604 (2019). MSC: 05C09 05C50 PDFBibTeX XMLCite \textit{Q. Liu}, Filomat 33, No. 6, 1593--1604 (2019; Zbl 1499.05136) Full Text: DOI arXiv
Liu, Jia-bao; Zhao, Jing; Min, Jie; Cao, Jinde The Hosoya index of graphs formed by a fractal graph. (English) Zbl 1434.05039 Fractals 27, No. 8, Article ID 1950135, 7 p. (2019). MSC: 05C09 28A80 PDFBibTeX XMLCite \textit{J.-b. Liu} et al., Fractals 27, No. 8, Article ID 1950135, 7 p. (2019; Zbl 1434.05039) Full Text: DOI
Wu, Bo; Zhang, Zhizhuo; Su, Weiyi Spectral analysis for weighted iterated \(q\)-triangulation networks. (English) Zbl 1429.05136 Chaos 29, No. 12, 123107, 13 p. (2019). MSC: 05C50 05C22 PDFBibTeX XMLCite \textit{B. Wu} et al., Chaos 29, No. 12, 123107, 13 p. (2019; Zbl 1429.05136) Full Text: DOI
Liao, Yunhua; Aziz-Alaoui, M. A.; Zhao, Junchan; Hou, Yaoping The behavior of Tutte polynomials of graphs under five graph operations and its applications. (English) Zbl 1433.05163 Appl. Math. Comput. 363, Article ID 124641, 15 p. (2019). MSC: 05C31 05C76 05C50 PDFBibTeX XMLCite \textit{Y. Liao} et al., Appl. Math. Comput. 363, Article ID 124641, 15 p. (2019; Zbl 1433.05163) Full Text: DOI
Du, Ni; Li, Xuechao The normalized Laplacian, degree-Kirchhoff index and spanning trees of the linear ladder-like chains. (English) Zbl 1427.05132 Adv. Appl. Discrete Math. 20, No. 1, 133-164 (2019). MSC: 05C50 92E10 05C07 05C31 PDFBibTeX XMLCite \textit{N. Du} and \textit{X. Li}, Adv. Appl. Discrete Math. 20, No. 1, 133--164 (2019; Zbl 1427.05132) Full Text: DOI
Sun, Shaowei; Das, Kinkar Ch. On the second largest normalized Laplacian eigenvalue of graphs. (English) Zbl 1428.05205 Appl. Math. Comput. 348, 531-541 (2019). MSC: 05C50 15A18 05C05 PDFBibTeX XMLCite \textit{S. Sun} and \textit{K. Ch. Das}, Appl. Math. Comput. 348, 531--541 (2019; Zbl 1428.05205) Full Text: DOI
Wang, Yucheng; Bao, Qi; Zhang, Zhongzhi Combinatorial properties of Farey graphs. (English) Zbl 1444.05112 Theor. Comput. Sci. 796, 70-89 (2019). Reviewer: K. A. Germina (Kerala) MSC: 05C69 05C35 05C30 05C45 05C82 91D30 PDFBibTeX XMLCite \textit{Y. Wang} et al., Theor. Comput. Sci. 796, 70--89 (2019; Zbl 1444.05112) Full Text: DOI
Rajkumar, R.; Gayathri, M. Spectra of \((H_1, H_2)\)-merged subdivision graph of a graph. (English) Zbl 1427.05139 Indag. Math., New Ser. 30, No. 6, 1061-1076 (2019). MSC: 05C50 05C76 05C30 05C05 PDFBibTeX XMLCite \textit{R. Rajkumar} and \textit{M. Gayathri}, Indag. Math., New Ser. 30, No. 6, 1061--1076 (2019; Zbl 1427.05139) Full Text: DOI arXiv
Dalfó, C. A new general family of mixed graphs. (English) Zbl 1421.05035 Discrete Appl. Math. 269, 99-106 (2019). MSC: 05C12 05C75 05C20 PDFBibTeX XMLCite \textit{C. Dalfó}, Discrete Appl. Math. 269, 99--106 (2019; Zbl 1421.05035) Full Text: DOI Link
Wan, Peng-Fei; Chen, Xin-Zhuang Computing the number of \(k\)-component spanning forests of a graph with bounded treewidth. (English) Zbl 1438.05044 J. Oper. Res. Soc. China 7, No. 2, 385-394 (2019). MSC: 05C05 05C30 05C85 PDFBibTeX XMLCite \textit{P.-F. Wan} and \textit{X.-Z. Chen}, J. Oper. Res. Soc. China 7, No. 2, 385--394 (2019; Zbl 1438.05044) Full Text: DOI
Liu, Hongjuan; Li, Honghai Normalized algebraic connectivity of graphs. (English) Zbl 1418.05090 Discrete Math. Algorithms Appl. 11, No. 3, Article ID 1950031, 10 p. (2019). MSC: 05C50 15A18 PDFBibTeX XMLCite \textit{H. Liu} and \textit{H. Li}, Discrete Math. Algorithms Appl. 11, No. 3, Article ID 1950031, 10 p. (2019; Zbl 1418.05090) Full Text: DOI
Ma, Fei; Yao, Bing A family of small-world network models built by complete graph and iteration-function. (English) Zbl 1514.05155 Physica A 492, 2205-2219 (2018). MSC: 05C82 PDFBibTeX XMLCite \textit{F. Ma} and \textit{B. Yao}, Physica A 492, 2205--2219 (2018; Zbl 1514.05155) Full Text: DOI
Dai, Meifeng; Chen, Yufei; Wang, Xiaoqian; Sun, Yu; Su, Weiyi Spectral analysis for weighted tree-like fractals. (English) Zbl 1514.05092 Physica A 492, 1892-1900 (2018). MSC: 05C50 60J10 05C22 05C90 28A80 PDFBibTeX XMLCite \textit{M. Dai} et al., Physica A 492, 1892--1900 (2018; Zbl 1514.05092) Full Text: DOI
Ma, Fei; Su, Jing; Hao, Yongxing; Yao, Bing; Yan, Guanghui A class of vertex-edge-growth small-world network models having scale-free, self-similar and hierarchical characters. (English) Zbl 1514.91149 Physica A 492, 1194-1205 (2018). MSC: 91D30 05C82 60C05 PDFBibTeX XMLCite \textit{F. Ma} et al., Physica A 492, 1194--1205 (2018; Zbl 1514.91149) Full Text: DOI
Shafiei, Fateme A spectral excess theorem for digraphs with normal Laplacian matrices. (English) Zbl 1463.05354 Trans. Comb. 7, No. 3, 19-28 (2018). MSC: 05C50 05E30 05C20 PDFBibTeX XMLCite \textit{F. Shafiei}, Trans. Comb. 7, No. 3, 19--28 (2018; Zbl 1463.05354) Full Text: DOI
Gozzard, Andrew; Ward, Max; Datta, Amitava Converting a network into a small-world network: fast algorithms for minimizing average path length through link addition. (English) Zbl 1436.68239 Inf. Sci. 422, 282-289 (2018). MSC: 68R10 05C82 05C85 68W40 90B18 PDFBibTeX XMLCite \textit{A. Gozzard} et al., Inf. Sci. 422, 282--289 (2018; Zbl 1436.68239) Full Text: DOI
Li, Tingting; Ye, Qianqian; Xi, Lifeng Markov spectra of self-similar networks by substitution rule. (English) Zbl 1433.35441 Fractals 26, No. 5, Article ID 1850064, 13 p. (2018). MSC: 35R02 05C82 28A80 PDFBibTeX XMLCite \textit{T. Li} et al., Fractals 26, No. 5, Article ID 1850064, 13 p. (2018; Zbl 1433.35441) Full Text: DOI
Sun, Yu; Zou, Jiahui; Dai, Meifeng; Wang, Xiaoqian; Tang, Hualong; Su, Weiyi Eigentime identity of the weighted Koch networks. (English) Zbl 1433.34043 Fractals 26, No. 3, Article ID 1850042, 9 p. (2018). MSC: 34B45 05C50 PDFBibTeX XMLCite \textit{Y. Sun} et al., Fractals 26, No. 3, Article ID 1850042, 9 p. (2018; Zbl 1433.34043) Full Text: DOI
Chen, Yufei; Dai, Meifeng; Wang, Xiaoqian; Sun, Yu; Su, Weiyi Spectral analysis for weighted iterated triangulations of graphs. (English) Zbl 1432.35058 Fractals 26, No. 1, Article ID 1850017, 12 p. (2018). MSC: 35J05 05C05 05C82 PDFBibTeX XMLCite \textit{Y. Chen} et al., Fractals 26, No. 1, Article ID 1850017, 12 p. (2018; Zbl 1432.35058) Full Text: DOI
Wang, Chengyong; Guo, Ziliang; Li, Shuchao Expected hitting times for random walks on the \(k\)-triangle graph and their applications. (English) Zbl 1427.05214 Appl. Math. Comput. 338, 698-710 (2018). MSC: 05C81 60G50 05C35 05C12 PDFBibTeX XMLCite \textit{C. Wang} et al., Appl. Math. Comput. 338, 698--710 (2018; Zbl 1427.05214) Full Text: DOI
Jiang, Wenchao; Zhai, Yinhu; Zhuang, Zhigang; Martin, Paul; Zhao, Zhiming; Liu, Jia-Bao Vertex labeling and routing for Farey-type symmetrically-structured graphs. (English) Zbl 1423.05145 Symmetry 10, No. 9, Paper No. 407, 15 p. (2018). MSC: 05C78 05C82 68Q25 PDFBibTeX XMLCite \textit{W. Jiang} et al., Symmetry 10, No. 9, Paper No. 407, 15 p. (2018; Zbl 1423.05145) Full Text: DOI
Kang, Shin Min; Siddiqui, Muhammad Kamran; Rehman, Najma Abdul; Imran, Muhammad; Muhammad, Mehwish Hussain Laplacian spectra for categorical product networks and its applications. (English) Zbl 1423.05101 Symmetry 10, No. 6, Paper No. 206, 13 p. (2018). MSC: 05C50 05C90 90B10 PDFBibTeX XMLCite \textit{S. M. Kang} et al., Symmetry 10, No. 6, Paper No. 206, 13 p. (2018; Zbl 1423.05101) Full Text: DOI
Huang, Jing; Li, Shuchao The normalized Laplacians on both \(k\)-triangle graph and \(k\)-quadrilateral graph with their applications. (English) Zbl 1426.05097 Appl. Math. Comput. 320, 213-225 (2018). MSC: 05C50 15A18 05C05 PDFBibTeX XMLCite \textit{J. Huang} and \textit{S. Li}, Appl. Math. Comput. 320, 213--225 (2018; Zbl 1426.05097) Full Text: DOI
Mokhlissi, Raihana; Lotfi, Dounia; Debnath, Joyati; El Marraki, Mohamed; EL Khattabi, Noussaima The evaluation of the number and the entropy of spanning trees on generalized small-world networks. (English) Zbl 1437.05048 J. Appl. Math. 2018, Article ID 1017308, 7 p. (2018). MSC: 05C05 05C82 05C30 05C85 PDFBibTeX XMLCite \textit{R. Mokhlissi} et al., J. Appl. Math. 2018, Article ID 1017308, 7 p. (2018; Zbl 1437.05048) Full Text: DOI
Nogawa, Tomoaki Renormalization-group theory of the abnormal singularities at the critical-order transition in bond percolation on pointed hierarchical graphs. (English) Zbl 1411.82019 J. Phys. A, Math. Theor. 51, No. 50, Article ID 505003, 17 p. (2018). MSC: 82B26 82B27 82B44 82B43 82B28 37G10 05C82 PDFBibTeX XMLCite \textit{T. Nogawa}, J. Phys. A, Math. Theor. 51, No. 50, Article ID 505003, 17 p. (2018; Zbl 1411.82019) Full Text: DOI arXiv
Das, Arpita; Panigrahi, Pratima Normalized Laplacian spectrum of some subdivision-joins and \(R\)-joins of two regular graphs. (English) Zbl 1403.05084 AKCE Int. J. Graphs Comb. 15, No. 3, 261-270 (2018). MSC: 05C50 PDFBibTeX XMLCite \textit{A. Das} and \textit{P. Panigrahi}, AKCE Int. J. Graphs Comb. 15, No. 3, 261--270 (2018; Zbl 1403.05084) Full Text: DOI
van Dam, E. R.; Omidi, G. R. Directed strongly walk-regular graphs. (English) Zbl 1394.05145 J. Algebr. Comb. 47, No. 4, 623-639 (2018). MSC: 05E30 05C50 05C20 PDFBibTeX XMLCite \textit{E. R. van Dam} and \textit{G. R. Omidi}, J. Algebr. Comb. 47, No. 4, 623--639 (2018; Zbl 1394.05145) Full Text: DOI arXiv
Coroničová Hurajová, Jana; Madaras, Tomáš More on betweenness-uniform graphs. (English) Zbl 1488.05152 Czech. Math. J. 68, No. 2, 293-306 (2018). MSC: 05C12 PDFBibTeX XMLCite \textit{J. Coroničová Hurajová} and \textit{T. Madaras}, Czech. Math. J. 68, No. 2, 293--306 (2018; Zbl 1488.05152) Full Text: DOI
Ma, Fei; Yao, Bing An iteration method for computing the total number of spanning trees and its applications in graph theory. (English) Zbl 1383.05054 Theor. Comput. Sci. 708, 46-57 (2018). MSC: 05C05 05C10 05C85 05C82 PDFBibTeX XMLCite \textit{F. Ma} and \textit{B. Yao}, Theor. Comput. Sci. 708, 46--57 (2018; Zbl 1383.05054) Full Text: DOI
Anderson, S. E.; Nagpal, Shriya; Wash, K. Domination in the hierarchical product and Vizing’s conjecture. (English) Zbl 1372.05155 Discrete Math. 341, No. 1, 20-24 (2018). MSC: 05C69 05C76 PDFBibTeX XMLCite \textit{S. E. Anderson} et al., Discrete Math. 341, No. 1, 20--24 (2018; Zbl 1372.05155) Full Text: DOI
Gong, Helin; Jin, Xian’an A general method for computing Tutte polynomials of self-similar graphs. (English) Zbl 1499.82007 Physica A 483, 117-129 (2017). MSC: 82B20 05C30 05C31 28A80 PDFBibTeX XMLCite \textit{H. Gong} and \textit{X. Jin}, Physica A 483, 117--129 (2017; Zbl 1499.82007) Full Text: DOI
Chen, Xing; Jiang, Yongsheng; Xiong, Wei; Meng, Jixiang Connectivity of the generalized hierarchical product of graphs. (English) Zbl 1495.05155 J. Discrete Math. Sci. Cryptography 20, No. 8, 1757-1764 (2017). MSC: 05C40 05C76 PDFBibTeX XMLCite \textit{X. Chen} et al., J. Discrete Math. Sci. Cryptography 20, No. 8, 1757--1764 (2017; Zbl 1495.05155) Full Text: DOI
Cui, Shu-Yu; Tian, Gui-Xian The spectra and the signless Laplacian spectra of graphs with pockets. (English) Zbl 1426.05090 Appl. Math. Comput. 315, 363-371 (2017). MSC: 05C50 15A18 05C05 PDFBibTeX XMLCite \textit{S.-Y. Cui} and \textit{G.-X. Tian}, Appl. Math. Comput. 315, 363--371 (2017; Zbl 1426.05090) Full Text: DOI arXiv
Li, Deqiong; Hou, Yaoping The normalized Laplacian spectrum of quadrilateral graphs and its applications. (English) Zbl 1411.05171 Appl. Math. Comput. 297, 180-188 (2017). MSC: 05C50 PDFBibTeX XMLCite \textit{D. Li} and \textit{Y. Hou}, Appl. Math. Comput. 297, 180--188 (2017; Zbl 1411.05171) Full Text: DOI
Li, Shixing Enumeration of spanning trees in the sequence of Dürer graphs. (English) Zbl 1380.05105 Open Math. 15, 1591-1598 (2017). MSC: 05C30 05C50 05C63 05C05 PDFBibTeX XMLCite \textit{S. Li}, Open Math. 15, 1591--1598 (2017; Zbl 1380.05105) Full Text: DOI
Sahbani, Hajar; El Marraki, Mohamed On the number of spanning trees in graphs with multiple edges. (English) Zbl 1373.05039 J. Appl. Math. Comput. 55, No. 1-2, 245-255 (2017). MSC: 05C05 05C30 PDFBibTeX XMLCite \textit{H. Sahbani} and \textit{M. El Marraki}, J. Appl. Math. Comput. 55, No. 1--2, 245--255 (2017; Zbl 1373.05039) Full Text: DOI
Hossein-Zadeh, S.; Iranmanesh, A.; Hosseinzadeh, M. A.; Hamzeh, A.; Tavakoli, M.; Ashrafi, A. R. Topological efficiency under graph operations. (English) Zbl 1373.05158 J. Appl. Math. Comput. 54, No. 1-2, 69-80 (2017). MSC: 05C76 05A20 05C12 05C35 05C75 92E10 PDFBibTeX XMLCite \textit{S. Hossein-Zadeh} et al., J. Appl. Math. Comput. 54, No. 1--2, 69--80 (2017; Zbl 1373.05158) Full Text: DOI
Jin, Yujia; Li, Huan; Zhang, Zhongzhi Maximum matchings and minimum dominating sets in Apollonian networks and extended tower of Hanoi graphs. (English) Zbl 1380.05182 Theor. Comput. Sci. 703, 37-54 (2017). MSC: 05C82 05C70 05C69 05C35 PDFBibTeX XMLCite \textit{Y. Jin} et al., Theor. Comput. Sci. 703, 37--54 (2017; Zbl 1380.05182) Full Text: DOI arXiv
Loke, T.; Tang, J. W.; Rodriguez, J.; Small, M.; Wang, J. B. Comparing classical and quantum pageranks. (English) Zbl 1373.81114 Quantum Inf. Process. 16, No. 1, Paper No. 25, 22 p. (2017). MSC: 81P45 05C81 81S25 PDFBibTeX XMLCite \textit{T. Loke} et al., Quantum Inf. Process. 16, No. 1, Paper No. 25, 22 p. (2017; Zbl 1373.81114) Full Text: DOI arXiv
Tian, Gui-Xian The asymptotic behavior of (degree-)Kirchhoff indices of iterated total graphs of regular graphs. (English) Zbl 1372.05118 Discrete Appl. Math. 233, 224-230 (2017). MSC: 05C40 05C07 PDFBibTeX XMLCite \textit{G.-X. Tian}, Discrete Appl. Math. 233, 224--230 (2017; Zbl 1372.05118) Full Text: DOI
Ashkboos, Saleh; Omidi, Gholamreza; Shafiei, Fateme; Tajbakhsh, Khosro Minimum cuts of distance-regular digraphs. (English) Zbl 1372.05085 Electron. J. Comb. 24, No. 4, Research Paper P4.2, 10 p. (2017). MSC: 05C20 05C40 PDFBibTeX XMLCite \textit{S. Ashkboos} et al., Electron. J. Comb. 24, No. 4, Research Paper P4.2, 10 p. (2017; Zbl 1372.05085) Full Text: Link
Anderson, S. E.; Guob, Y.; Tenney, A.; Wash, K. A. Prime factorization and domination in the hierarchical product of graphs. (English) Zbl 1375.05208 Discuss. Math., Graph Theory 37, No. 4, 873-890 (2017). MSC: 05C70 05C76 PDFBibTeX XMLCite \textit{S. E. Anderson} et al., Discuss. Math., Graph Theory 37, No. 4, 873--890 (2017; Zbl 1375.05208) Full Text: DOI
Zhai, Yinhu; Liu, Jia-Bao; Wang, Shaohui Structure properties of Koch networks based on networks dynamical systems. (English) Zbl 1367.05191 Complexity 2017, Article ID 6210878, 7 p. (2017). MSC: 05C78 PDFBibTeX XMLCite \textit{Y. Zhai} et al., Complexity 2017, Article ID 6210878, 7 p. (2017; Zbl 1367.05191) Full Text: DOI arXiv