Results 21 to 30 of about 167 (109)

Security number of Sierpiński graphs

open access: yes, 2023
V nalogi je najprej predstavljena terminologija in teoretične osnove potrebne za razumevanje pojmov varnosti, dominacije in varnostne dominacije v grafih. V drugem delu diplomskega dela, bomo definirali grafe Sierpińskega.
Čelan, Nika
core  

On the number of spanning trees, the Laplacian eigenvalues, and the Laplacian Estrada index of subdivided-line graphs

open access: yesOpen Mathematics, 2016
As a generalization of the Sierpiński-like graphs, the subdivided-line graph Г(G) of a simple connected graph G is defined to be the line graph of the barycentric subdivision of G.
Shang Yilun
doaj   +1 more source

Injective colorings of Sierpiński-like graphs and Kneser graphs

open access: yes
Two relationships between the injective chromatic number and, respectively, chromatic number and chromatic index, are proved. They are applied to determine the injective chromatic number of Sierpiński graphs and to give a short proof that Sierpiński ...
Samadi, Babak   +4 more
core   +3 more sources

Polymer informatics: Integrating data‐driven strategies, advanced machine learning, and automated synthesis for next‐generation polymer design

open access: yesInfoScience, EarlyView.
Designing new polymers for applications such as sustainable plastics, biomaterials, and 3D printing has traditionally been slow and expensive, relying heavily on trial‐and‐error experiments. This review shows how polymer informatics—the integration of large polymer databases, machine‐learning models, and automated robotic synthesis—enables fast ...
Md. Saiful Islam   +6 more
wiley   +1 more source

Topological indices for the iterations of Sierpiński rhombus and Koch snowflake

open access: yes, 2021
In fractal geometry, the study of Sierpiński rhombus and Koch snowflake is one of the important and interesting research topics. Sierpiński rhombus is a planar fractal which is created using a related sequence of graphs named $$\{\mathrm{SR}_n\}_{n\ge 0}$
A. Divya, A. Manimaran
core   +1 more source

Domination parameters of generalized Sierpiński graphs

open access: yesAKCE International Journal of Graphs and Combinatorics
In this paper, we obtain the Italian domination number, perfect Italian domination number and double Roman domination number of generalized Sierpiński graph [Formula: see text] where G is a cycle Cn, [Formula: see text] a complete bipartite graph ...
Jismy Varghese   +2 more
doaj   +1 more source

Fractional Moment Theory for Anomalous Transport: A Unified Framework for Lévy Flights, Fractals, and Complex Dynamical Systems

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We develop a unified mathematical framework extending classical moment theory from discrete integer orders to a continuous spectrum of real orders f>0$$ f>0 $$, providing a systematic statistical characterization of complex systems exhibiting power‐law behavior.
Farrukh A. Chishtie
wiley   +1 more source

Monadic second-order logic and the domino problem on self-similar graphs [PDF]

open access: yes, 2022
We consider the domino problem on Schreier graphs of self-similar groups, and more generally their monadic second-order logic. On the one hand, we prove that if the group is bounded, then the domino problem on the graph is decidable; furthermore, under ...
Bartholdi, Laurent
core   +1 more source

Kuramoto Model on Sierpinski Gasket I: Harmonic Maps

open access: yesStudies in Applied Mathematics, Volume 156, Issue 5, May 2026.
ABSTRACT Motivated by the study of attractors in the Kuramoto model (KM) on graphs, approximating the Sierpinski gasket (SG), we revisit the problem of harmonic maps (HMs) from SG to the circle, first considered by Strichartz. We provide a geometric proof of Strichartz's theorem, which states that for a prescribed degree and suitable boundary ...
Georgi S. Medvedev, Matthew S. Mizuhara
wiley   +1 more source

Circle packings, renormalizations, and subdivision rules

open access: yesProceedings of the London Mathematical Society, Volume 132, Issue 4, April 2026.
Abstract In this paper, we use iterations of skinning maps on Teichmüller spaces to study circle packings and develop a renormalization theory for circle packings whose nerves satisfy certain subdivision rules. We characterize when the skinning map has bounded image.
Yusheng Luo, Yongquan Zhang
wiley   +1 more source

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