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
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
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
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
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
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
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
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
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
Xie, Pinchen; Yang, Bingjia; Zhang, Zhongzhi; Andrade, Roberto F. S. Exact evaluation of the causal spectrum and localization properties of electronic states on a scale-free network. (English) Zbl 1514.81029 Physica A 502, 40-48 (2018). MSC: 81P16 81V19 PDFBibTeX XMLCite \textit{P. Xie} et al., Physica A 502, 40--48 (2018; Zbl 1514.81029) Full Text: DOI arXiv
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
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
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
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
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
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
Huang, Jing; Li, Shuchao; Li, Xuechao The normalized Laplacian, degree-Kirchhoff index and spanning trees of the linear polyomino chains. (English) Zbl 1410.05128 Appl. Math. Comput. 289, 324-334 (2016). MSC: 05C50 05B50 92E10 PDFBibTeX XMLCite \textit{J. Huang} et al., Appl. Math. Comput. 289, 324--334 (2016; Zbl 1410.05128) Full Text: DOI