On the packing coloring of base-3 Sierpiński graphs and H-graphs
Sign Up to like & getrecommendations! Published in 2020 at "Aequationes mathematicae"
DOI: 10.1007/s00010-020-00747-w
Abstract: For a nondecreasing sequence of integers $$S=(s_1, s_2, \ldots )$$ S = ( s 1 , s 2 , … ) an S -packing k -coloring of a graph G is a mapping from V… read more here.
Keywords: graphs; base sierpi; packing coloring; sierpi ski ... See more keywords
Nonlinear problems on the Sierpiński gasket
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2017.03.032
Abstract: Abstract This paper concerns with a class of elliptic equations on fractal domains depending on a real parameter. Our approach is based on variational methods. More precisely, the existence of at least two non-trivial weak… read more here.
Keywords: sierpi ski; nonlinear problems; ski gasket; problems sierpi ... See more keywords
Sierpiński Pyramids by Molecular Entanglement.
Sign Up to like & getrecommendations! Published in 2020 at "Journal of the American Chemical Society"
DOI: 10.1021/jacs.0c01168
Abstract: Planar, terpyridine-based metal-complexes with the Sierpiński triangular motif and alkylated corners undergo a second self-assembly event to give megastructural Sierpiński pyramids; assembly is driven by the facile lipophilic-lipophilic association of the alkyl moieties and complementary… read more here.
Keywords: molecular entanglement; pyramids molecular; sierpi ski; ski pyramids ... See more keywords
On-Surface Synthesis of Highly Ordered Covalent Sierpiński Triangle Fractals.
Sign Up to like & getrecommendations! Published in 2019 at "Journal of the American Chemical Society"
DOI: 10.1021/jacs.9b04815
Abstract: The Sierpiński triangle (ST), a well-known fractal, is predicted to exhibit fascinating electronic, magnetic, optical, and me-chanical properties. Synthesis of stable molecular STs with robust covalent linkages is attractive but challenging. Here, we demonstrate the… read more here.
Keywords: ordered covalent; sierpi ski; ski triangle; highly ordered ... See more keywords
The finite difference method for the heat equation on Sierpiński simplices
Sign Up to like & getrecommendations! Published in 2019 at "International Journal of Computer Mathematics"
DOI: 10.1080/00207160.2018.1517209
Abstract: ABSTRACT In the sequel, we extend our previous work on the Minkowski Curve to Sierpiński simplices (Gasket and Tetrahedron), in the case of the heat equation. First, we build the finite difference scheme. Then, we… read more here.
Keywords: ski simplices; finite difference; sierpi ski; heat equation ... See more keywords
Local and global magnetization on the Sierpiński carpet.
Sign Up to like & getrecommendations! Published in 2023 at "Physical review. E"
DOI: 10.1103/physreve.107.044108
Abstract: The phase transition of the classical Ising model on the Sierpiński carpet, which has the fractal dimension log_{3}^{}8≈1.8927, is studied by an adapted variant of the higher-order tensor renormalization group method. The second-order phase transition… read more here.
Keywords: sierpi ski; magnetization; ski carpet; local global ... See more keywords
Spectral Properties of Extended Sierpiński Graphs and Their Applications
Sign Up to like & getrecommendations! Published in 2019 at "IEEE Transactions on Network Science and Engineering"
DOI: 10.1109/tnse.2018.2797483
Abstract: The eigenvalues of a graph present a wide range of applications in structural and dynamical aspects of the graph. Determining and analyzing spectra of a graph has been an important and exciting research topic in… read more here.
Keywords: properties extended; sierpi ski; spectral properties; ski graphs ... See more keywords
CONVEX HULLS OF SIERPIŃSKI RELATIVES
Sign Up to like & getrecommendations! Published in 2018 at "Fractals"
DOI: 10.1142/s0218348x18500986
Abstract: This paper presents an investigation of the convex hulls of the Sierpiński relatives. These fractals all have the same fractal dimension but different topologies. We prove that the relatives have convex hulls with polygonal boundaries… read more here.
Keywords: ski relatives; convex hulls; sierpi ski; hulls sierpi ... See more keywords
ECCENTRIC DISTANCE SUM OF SIERPIŃSKI GASKET AND SIERPIŃSKI NETWORK
Sign Up to like & getrecommendations! Published in 2019 at "Fractals"
DOI: 10.1142/s0218348x19500166
Abstract: The eccentric distance sum is concerned with complex networks. To obtain the asymptotic formula of eccentric distance sum on growing Sierpiński networks, we study some nonlinear integral in terms of self-similar measure on the Sierpiński… read more here.
Keywords: sierpi ski; sierpi; distance sum; eccentric distance ... See more keywords
On some bounds of the topological indices of generalized Sierpiński and extended Sierpiński graphs
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Inequalities and Applications"
DOI: 10.1186/s13660-019-1990-1
Abstract: Sierpiński graphs are extensively studied graphs of fractal nature with applications in topology, mathematics of Tower of Hanoi and computer science. The generalized Sierpiński graphs are defined by replication of exactly the same graph, yielding… read more here.
Keywords: generalized sierpi; topological indices; sierpi ski; graphs ... See more keywords