Results 11 to 20 of about 1,134,156 (95)

Entropies and Degree-Based Topological Indices of Generalized Sierpiński Graphs

Fractal and Fractional
Fractals are geometric patterns that appear self-similar across all length scales and are constructed by repeating a single unit on a regular basis. Entropy, as a core thermodynamic function, is an extension based on information theory (such as Shannon ...
Si-Ao Xu, Jia-Dong Si, Jia-Bao Liu
doaj   +2 more sources

Average height for Abelian sandpiles and the looping constant on Sierpiński graphs. [PDF]

Comput Appl Math
For the Abelian sandpile model on Sierpiński graphs, we investigate several statistics such as average height, height probabilities and looping constant.
Heizmann N, Kaiser R, Sava-Huss E.
europepmc   +2 more sources

The Sierpiński product of graphs [PDF]

, 2023
In this paper we introduce a product-like operation that generalizes the construction of the generalized Sierpiński graphs. Let ▫$G, , H$▫ be graphs and let ▫$f: V(G) to V(H)$▫ be a function.
Žitnik, Arjana, Pisanski, Tomaž, Kovič, Jurij, Zemljič, Sara Sabrina   +3 more
core   +1 more source

The Lq$L^q$ spectrum of self‐affine measures on sponges

Journal of the London Mathematical Society, Volume 108, Issue 2, Page 666-701, August 2023., 2023
Abstract In this paper, a sponge in Rd$\mathbb {R}^d$ is the attractor of an iterated function system consisting of finitely many strictly contracting affine maps whose linear part is a diagonal matrix. A suitable separation condition is introduced under which a variational formula is proved for the Lq$L^q$ spectrum of any self‐affine measure defined ...
István Kolossváry
wiley   +1 more source

From Fluid Flow to Coupled Processes in Fractured Rock: Recent Advances and New Frontiers

Reviews of Geophysics, Volume 60, Issue 1, March 2022., 2022
Abstract Quantitative predictions of natural and induced phenomena in fractured rock is one of the great challenges in the Earth and Energy Sciences with far‐reaching economic and environmental impacts. Fractures occupy a very small volume of a subsurface formation but often dominate fluid flow, solute transport and mechanical deformation behavior ...
H. S. Viswanathan, J. Ajo‐Franklin, J. T. Birkholzer, J. W. Carey, Y. Guglielmi, J. D. Hyman, S. Karra, L. J. Pyrak‐Nolte, H. Rajaram, G. Srinivasan, D. M. Tartakovsky   +10 more
wiley   +1 more source

Degree sequence of the generalized Sierpiński ‎graph [PDF]

, 2020
Sierpiński graphs are studied in fractal theory and have applications in diverse areas including dynamic systems, chemistry, psychology, probability, and computer science.
Attarzadeh, Fatemeh, Khatibi, Mahsa, Behtoei, Ali   +2 more
core   +1 more source

Resolvability and convexity properties in the Sierpiński product of graphs [PDF]

, 2023
Let $G$ and $H$ be graphs and let $f colon V(G)rightarrow V(H)$ be a function. The Sierpiński product of $G$ and $H$ with respect to $f$, denoted by $G otimes _f H$, is defined as the graph on the vertex set $V(G)times V(H)$, consisting of $|V(G ...
González Yero, Ismael, Henning, M.A., Yero, Ismael G., Klavžar, Sandi, Klavžar, S., Henning, Michael A.   +5 more
core   +1 more source

Injective colorings of Sierpiński-like graphs and Kneser graphs [PDF]

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, Yero, Ismael G., Klavžar, Sandi, Brešar, Boštjan   +3 more
core   +4 more sources

Some New Upper Bounds for the Y‐Index of Graphs

Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022
In mathematical chemistry, the topological indices with highly correlation factor play a leading role specifically for developing crucial information in QSPR/QSAR analysis. Recently, there exists a new graph invariant, namely, Y‐index of graph proposed by Alameri as the sum of the fourth power of each and every vertex degree of that graph.
Durbar Maji, Ganesh Ghorai, Faria Ahmed Shami, Naeem Jan   +3 more
wiley   +1 more source

Graph‐like spaces approximated by discrete graphs and applications

Mathematische Nachrichten, Volume 294, Issue 11, Page 2237-2278, November 2021., 2021
Abstract We define a distance between energy forms on a graph‐like metric measure space and on a suitable discrete weighted graph using the concept of quasi‐unitary equivalence. We apply this result to metric graphs, graph‐like manifolds (e.g. a small neighbourhood of an embedded metric graph) or pcf self‐similar fractals as metric measure spaces with ...
Olaf Post, Jan Simmer
wiley   +1 more source