Results 31 to 40 of about 1,134,156 (95)
Coloring Hanoi and Sierpiński graphs [PDF]
, 2012 It is shown that all Hanoi and Sierpiński graphs are in edge- and total coloring class 1, except those isomorphic to a complete graph of odd or even order, respectively.
Daniele Parisse +3 more
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Multidimensional Topological Measure Spaces and Their Applications in Decision‐Making Problems
Advances in Fuzzy Systems, Volume 2026, Issue 1, 2026.This paper presents a generalized framework termed the multidimensional topological measure space (MDTMS), developed through multidimensional fuzzy sets, multidimensional topology, and an associated distance measure. The suggested framework enhances traditional fuzzy models by facilitating a more nuanced representation and examination of intricate ...
Jomal Josen +3 more
wiley +1 more source
The hamiltonicity and path t-coloring of Sierpiński-like graphs [PDF]
, 2012 A mapping ϕ from V(G) to {1,2,…,t} is called a path t-coloring of a graph G if each G[ϕ−1(i)], for 1≤i≤t, is a linear forest. The vertex linear arboricity of a graph G, denoted by vla(G), is the minimum t for which G has a path t-coloring.
Xue, Bing, Li, Guojun, Zuo, Liancui
core +1 more source
New Sharp Extremal Bounds for the Randić Index of Trees With Prescribed Roman Domination Number
Discrete Dynamics in Nature and Society, Volume 2026, Issue 1, 2026.The Randić index is a classical degree‐based topological index that captures branching features of a graph and has broad applications in chemical graph theory and related network models. Roman domination is a defense‐inspired covering concept in which vertices are assigned protective labels so that every unprotected vertex is adjacent to a strongly ...
Waqar Ali +4 more
wiley +1 more source
Some properties of generalized Sierpiński graphs [PDF]
, 2019 V magistrskem delu so obravnavane in s slikovnimi zgledi predstavljene nekatere lastnosti posplošenih grafov Sierpińskega, zgrajenih na poljubnem baznem grafu G.
Bezgovšek, Teja
core
Metaheuristic Optimization Algorithm for Vulnerability Detection in Web of Things Environment
Journal of Engineering, Volume 2026, Issue 1, 2026.The integration of the Web of Things with cloud computing platforms has significantly improved data sharing, analytics, and automation across smart environments. However, this interconnection also exposes devices and cloud infrastructures to severe security threats, including Trojans, ransomware, worms, and advanced malware.
Romil Rawat +2 more
wiley +1 more source
Generalized blue-noise sampling on graphs and applications
, 2022 Arce, Gonzalo R.Graph Signal Processing (GSP) extends classical signal processing to the analysis of signals supported over irregular grids represented by graphs. Sampling and reconstruction are fundamental tools that have received considerable attention
Dapena Rivero, Maria Daniela
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Journal of Mathematics, Volume 2026, Issue 1, 2026.Topological indices are essential for encoding molecular information and have traditionally focused on the properties of individual atoms and their connections. In this work, we study and analyze the first and second entire Zagreb indices. We explore their predictive power through rigorous analysis of octane isomers and benzenoid hydrocarbons ...
Buthinah A. Bin Dehaish +3 more
wiley +1 more source
First‐order Sobolev spaces, self‐similar energies and energy measures on the Sierpiński carpet
Communications on Pure and Applied Mathematics, Volume 78, Issue 9, Page 1523-1608, September 2025.Abstract For any p∈(1,∞)$p \in (1,\infty)$, we construct p$p$‐energies and the corresponding p$p$‐energy measures on the Sierpiński carpet. A salient feature of our Sobolev space is the self‐similarity of energy. An important motivation for the construction of self‐similar energy and energy measures is to determine whether or not the Ahlfors regular ...
Mathav Murugan, Ryosuke Shimizu
wiley +1 more source
Fractal Scaling of Explosively Driven Product Gases
Propellants, Explosives, Pyrotechnics, Volume 50, Issue 5, May 2025.The expanding interface between explosive product gases and ambient air is characterized as a function of time by the fractal dimension of the interface which is extracted from high‐speed image sequences. The interface is observed to increase in fractal dimension, and thus complexity, as time from detonation progresses.
Christian R. Peterson +1 more
wiley +1 more source