Results 71 to 80 of about 167 (109)

Mutual-visibility and general position sets in Sierpiński triangle graphs

open access: yes
For a given graph \(G\), the general position problem asks for the largest set of vertices \(M \subseteq V(G)\) such that no three distinct vertices of \(M\) belong to a common shortest path in \(G\).
Vesel, Aleksander, Korže, Danilo
core   +3 more sources

Coloring Sierpiński graphs and Sierpiński gasket graphs

open access: yes, 2008
Sierpinski graphs S(n, 3) are the graphs of the Tower of Hanoi with n disks, while Sierpinski gasket graphs Sn are the graphs naturally defined by the finite number of iterations that lead to the Sierpinski gasket.
Sandi Klavžar
core  

Distances and automatic sequences in distinguished variants of Hanoi graphs [PDF]

open access: yes, 2016
In this thesis three open problems concerning Hanoi-type graphs are addressed. I prove a theorem to determine all shortest paths between two arbitrary vertices s and t in the General Sierpiński graph S_p^n with base p ≥ 3 and exponent n ≥ 0 and find an ...
Holz auf der Heide, Caroline
core  

On the roman domination number of generalized Sierpiński graphs

open access: yes, 2017
A map f : V?(0,1,2) is a Roman dominating function on a graph G = (V,E) if for every vertex v ? V with f(v)=0, there exists a vertex u, adjacent to v, such that f(u)=2. The weight of a Roman dominating function is given by f(V)=?u?V f(u).
E.D. Rodríguez-Bazan   +2 more
core   +1 more source

ON EV-DEGREE and VE-DEGREE BASED TOPOLOGICAL PROPERTIES of the SIERPIŃSKI GASKET FRACTAL

open access: yes, 2019
In chemistry, pharmacology, medicine and physics molecular graphs have been used to model molecular substances, networks and fractals. Topological indices have been derived from the molecular graphs of chemical compounds, networks and fractals ...
Yamaç, Kerem, Cancan, Murat
core  

Regularized Laplacian determinants of self-similar fractals. [PDF]

open access: yesLett Math Phys, 2018
Chen JP, Teplyaev A, Tsougkas K.
europepmc   +1 more source

Sierpiński graphs as spanning subgraphs of Hanoi graphs

open access: yesOpen Mathematics, 2013
Hinz Andreas   +2 more
doaj   +1 more source

The Median of Sierpinski Triangle Graphs

open access: yes
The median $M$ of a graph $G$ is the set of vertices with a minimum total distance to all other vertices in the graph. In this paper, we determine the median of Sierpiński triangle graphs.
Balakrishnan, Kannan   +5 more
core  

Metrične lastnosti grafov Sierpińskega

open access: yes, 2017
In this thesis we study the metric properties of Sierpiński graphs. Sierpiński graphs form a two-parametric family of graphs similar to Hanoi graphs that originate in the Tower of Hanoi puzzle.
Zemljič, Sara Sabrina
core  

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