Hinz, Andreas M.; Holz auf der Heide, Caroline; Zemljič, Sara Sabrina Metric properties of Sierpiński triangle graphs. (English) Zbl 1494.05036 Discrete Appl. Math. 319, 439-453 (2022). MSC: 05C12 05C78 28A80 PDFBibTeX XMLCite \textit{A. M. Hinz} et al., Discrete Appl. Math. 319, 439--453 (2022; Zbl 1494.05036) Full Text: DOI
Gu, Jiangwen; Fan, Jiaqi; Ye, Qianqian; Xi, Lifeng Mean geodesic distance of the level-\(n\) Sierpinski gasket. (English) Zbl 1487.28009 J. Math. Anal. Appl. 508, No. 1, Article ID 125853, 31 p. (2022). Reviewer: Jörg Neunhäuserer (Goslar) MSC: 28A80 30L05 PDFBibTeX XMLCite \textit{J. Gu} et al., J. Math. Anal. Appl. 508, No. 1, Article ID 125853, 31 p. (2022; Zbl 1487.28009) Full Text: DOI
Li, Yuanyuan; Fan, jiaqi; Xi, Lifeng Average geodesic distance on stretched Sierpiński gasket. (English) Zbl 1498.28014 Chaos Solitons Fractals 150, Article ID 111120, 5 p. (2021). MSC: 28A80 PDFBibTeX XMLCite \textit{Y. Li} et al., Chaos Solitons Fractals 150, Article ID 111120, 5 p. (2021; Zbl 1498.28014) Full Text: DOI
Ma, Ying; Chen, Chen; Xi, Lifeng Average Fermat distance of a fractal tree. (English) Zbl 1493.28014 Fractals 29, No. 7, Article ID 2150212, 7 p. (2021). MSC: 28A80 51K05 PDFBibTeX XMLCite \textit{Y. Ma} et al., Fractals 29, No. 7, Article ID 2150212, 7 p. (2021; Zbl 1493.28014) Full Text: DOI
Berkove, Ethan; Smith, Derek Geodesics in the Sierpinski carpet and Menger sponge. (English) Zbl 1507.28003 Fractals 28, No. 7, Article ID 2050120, 21 p. (2020). MSC: 28A80 05C07 60J65 PDFBibTeX XMLCite \textit{E. Berkove} and \textit{D. Smith}, Fractals 28, No. 7, Article ID 2050120, 21 p. (2020; Zbl 1507.28003) Full Text: DOI
İklim Şen, Aslıhan; Saltan, Mustafa The formulization of the intrinsic metric on the added Sierpinski triangle by using the code representations. (English) Zbl 1455.28008 Turk. J. Math. 44, No. 2, 356-377 (2020). Reviewer: Gergely Kiss (Budapest) MSC: 28A80 PDFBibTeX XMLCite \textit{A. İklim Şen} and \textit{M. Saltan}, Turk. J. Math. 44, No. 2, 356--377 (2020; Zbl 1455.28008) Full Text: DOI Link
Aslan, Nisa; Saltan, Mustafa; Demir, Bünyamin The intrinsic metric formula and a chaotic dynamical system on the code set of the Sierpinski tetrahedron. (English) Zbl 1448.28007 Chaos Solitons Fractals 123, 422-428 (2019). MSC: 28A80 37D45 37B10 PDFBibTeX XMLCite \textit{N. Aslan} et al., Chaos Solitons Fractals 123, 422--428 (2019; Zbl 1448.28007) Full Text: DOI
Gu, Jiangwen; Ye, Qianqian; Xi, Lifeng Geodesics of higher-dimensional Sierpinski gasket. (English) Zbl 1433.28015 Fractals 27, No. 4, Article ID 1950049, 10 p. (2019). MSC: 28A80 PDFBibTeX XMLCite \textit{J. Gu} et al., Fractals 27, No. 4, Article ID 1950049, 10 p. (2019; Zbl 1433.28015) Full Text: DOI
Chen, Jin; He, Long; Wang, Qin Eccentric distance sum of Sierpiński gasket and Sierpiński network. (English) Zbl 1433.28009 Fractals 27, No. 2, Article ID 1950016, 8 p. (2019). MSC: 28A80 PDFBibTeX XMLCite \textit{J. Chen} et al., Fractals 27, No. 2, Article ID 1950016, 8 p. (2019; Zbl 1433.28009) Full Text: DOI
Özdemir, Yunus The intrinsic metric and geodesics on the Sierpinski gasket \(SG(3)\). (English) Zbl 1434.28032 Turk. J. Math. 43, No. 6, 2741-2754 (2019). MSC: 28A80 51F99 PDFBibTeX XMLCite \textit{Y. Özdemir}, Turk. J. Math. 43, No. 6, 2741--2754 (2019; Zbl 1434.28032) Full Text: Link
Deng, Xingchao; Shao, Zhiwei; Zhang, Huan; Yang, Weihua The \((d, 1)\)-total labelling of Sierpiński-like graphs. (English) Zbl 1428.05266 Appl. Math. Comput. 361, 484-492 (2019). MSC: 05C78 28A80 PDFBibTeX XMLCite \textit{X. Deng} et al., Appl. Math. Comput. 361, 484--492 (2019; Zbl 1428.05266) Full Text: DOI
Özdemir, Yunus; Saltan, Mustafa; Demir, Bünyamin The intrinsic metric on the box fractal. (English) Zbl 1426.28022 Bull. Iran. Math. Soc. 45, No. 5, 1269-1281 (2019). MSC: 28A80 51F99 PDFBibTeX XMLCite \textit{Y. Özdemir} et al., Bull. Iran. Math. Soc. 45, No. 5, 1269--1281 (2019; Zbl 1426.28022) Full Text: DOI
Olsen, L.; Richardson, A. Average distances between points in graph-directed self-similar fractals. (English) Zbl 1408.28010 Math. Nachr. 292, No. 1, 170-194 (2019). MSC: 28A78 PDFBibTeX XMLCite \textit{L. Olsen} and \textit{A. Richardson}, Math. Nachr. 292, No. 1, 170--194 (2019; Zbl 1408.28010) Full Text: DOI Link
Saltan, Mustafa; Özdemir, Yunus; Demir, Bünyamin Geodesics of the Sierpinski gasket. (English) Zbl 1433.28028 Fractals 26, No. 3, Article ID 1850024, 8 p. (2018). MSC: 28A80 PDFBibTeX XMLCite \textit{M. Saltan} et al., Fractals 26, No. 3, Article ID 1850024, 8 p. (2018; Zbl 1433.28028) Full Text: DOI
Saltan, Mustafa Intrinsic metrics on Sierpinski-like triangles and their geometric properties. (English) Zbl 1423.28026 Symmetry 10, No. 6, Paper No. 204, 12 p. (2018). MSC: 28A80 51F99 PDFBibTeX XMLCite \textit{M. Saltan}, Symmetry 10, No. 6, Paper No. 204, 12 p. (2018; Zbl 1423.28026) Full Text: DOI
Saltan, Mustafa; Özdemir, Yunus; Demir, Bünyamin An explicit formula of the intrinsic metric on the Sierpinski gasket via code representation. (English) Zbl 1424.28016 Turk. J. Math. 42, No. 2, 716-725 (2018). MSC: 28A80 PDFBibTeX XMLCite \textit{M. Saltan} et al., Turk. J. Math. 42, No. 2, 716--725 (2018; Zbl 1424.28016) Full Text: DOI arXiv
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
Allen, D.; Edwards, H.; Harper, Scott; Olsen, L. Average distances on self-similar sets and higher order average distances of self-similar measures. (English) Zbl 1376.28004 Math. Z. 287, No. 1-2, 287-324 (2017). Reviewer: Peter Massopust (München) MSC: 28A78 28A80 PDFBibTeX XMLCite \textit{D. Allen} et al., Math. Z. 287, No. 1--2, 287--324 (2017; Zbl 1376.28004) Full Text: DOI
Camilli, Fabio; Capitanelli, Raffaela; Vivaldi, Maria Agostina Absolutely minimizing Lipschitz extensions and infinity harmonic functions on the Sierpinski gasket. (English) Zbl 1375.31011 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 163, 71-85 (2017). MSC: 31C20 28A80 PDFBibTeX XMLCite \textit{F. Camilli} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 163, 71--85 (2017; Zbl 1375.31011) Full Text: DOI arXiv
Jonoska, Nataša; Krajčevski, Milé; McColm, Gregory Traversal languages capturing isomorphism classes of Sierpiński gaskets. (English) Zbl 1476.68096 Amos, Martyn (ed.) et al., Unconventional computation and natural computation. 15th international conference, UCNC 2016, Manchester, UK, July 11–15, 2016. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 9726, 155-167 (2016). MSC: 68Q09 28A80 68Q45 PDFBibTeX XMLCite \textit{N. Jonoska} et al., Lect. Notes Comput. Sci. 9726, 155--167 (2016; Zbl 1476.68096) Full Text: DOI
Camilli, Fabio; Capitanelli, Raffaela; Marchi, Claudio Eikonal equations on the Sierpinski gasket. (English) Zbl 1439.35501 Math. Ann. 364, No. 3-4, 1167-1188 (2016). MSC: 35R02 49L25 28A80 PDFBibTeX XMLCite \textit{F. Camilli} et al., Math. Ann. 364, No. 3--4, 1167--1188 (2016; Zbl 1439.35501) Full Text: DOI arXiv
Cristea, Ligia L.; Steinsky, Bertran Distances in Sierpiński graphs and on the Sierpiński gasket. (English) Zbl 1275.28007 Aequationes Math. 85, No. 3, 201-219 (2013). Reviewer: Ivan Podvigin (Novosibirsk) MSC: 28A80 05C12 PDFBibTeX XMLCite \textit{L. L. Cristea} and \textit{B. Steinsky}, Aequationes Math. 85, No. 3, 201--219 (2013; Zbl 1275.28007) Full Text: DOI
Mubarak, Mohamed Estimate the shortest paths on fractal \(m\)-gons. (English) Zbl 1245.28009 Commun. Nonlinear Sci. Numer. Simul. 17, No. 6, 2525-2529 (2012). MSC: 28A80 PDFBibTeX XMLCite \textit{M. Mubarak}, Commun. Nonlinear Sci. Numer. Simul. 17, No. 6, 2525--2529 (2012; Zbl 1245.28009) Full Text: DOI
Wu, Shunqi; Zhang, Zhongzhi; Chen, Guanrong Random walks on dual Sierpinski gaskets. (English) Zbl 1515.82075 Eur. Phys. J. B, Condens. Matter Complex Syst. 82, No. 1, 91-96 (2011). MSC: 82B41 05C80 28A80 60G50 PDFBibTeX XMLCite \textit{S. Wu} et al., Eur. Phys. J. B, Condens. Matter Complex Syst. 82, No. 1, 91--96 (2011; Zbl 1515.82075) Full Text: DOI
Lin, Chien-Hung; Liu, Jia-Jie; Wang, Yue-Li; Yen, William Chung-Kung The hub number of Sierpiński-like graphs. (English) Zbl 1234.05178 Theory Comput. Syst. 49, No. 3, 588-600 (2011). MSC: 05C69 05C75 05C38 28A80 PDFBibTeX XMLCite \textit{C.-H. Lin} et al., Theory Comput. Syst. 49, No. 3, 588--600 (2011; Zbl 1234.05178) Full Text: DOI
Stewart, Ian Four encounters with Sierpiński’s gasket. (English) Zbl 0814.28002 Math. Intell. 17, No. 1, 52-64 (1995). Reviewer: H.Haase (Greifswald) MSC: 28-03 28A80 01A60 PDFBibTeX XMLCite \textit{I. Stewart}, Math. Intell. 17, No. 1, 52--64 (1995; Zbl 0814.28002) Full Text: DOI