Results 21 to 30 of about 413,829 (102)

Strong Geodetic Problem in Networks

open access: yesDiscussiones Mathematicae Graph Theory, 2020
In order to model certain social network problems, the strong geodetic problem and its related invariant, the strong geodetic number, are introduced.
Manuel Paul   +4 more
doaj   +1 more source

Exact double domination in the generalized Sierpiński graphs [PDF]

open access: yesAUT Journal of Mathematics and Computing
A subset $D$ of vertices of a simple graph ‎$‎G‎$ ‎is ‎an exact double dominating set if each vertex $v$ of $G$ is dominated by exactly two vertices of $D$‎, ‎i.e. $|N_G[v]\cap D|=2$‎, ‎in ‎which ‎‎$‎N_G[v]‎$ ‎is ‎the closed neighborhood of $v$ in ‎$‎G‎$‎
Mahsa Khatibi, Ali Behtoei
doaj   +1 more source

Coloring Hanoi and Sierpiński graphs [PDF]

open access: yes, 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
core   +1 more source

The hamiltonicity and path t-coloring of Sierpiński-like graphs [PDF]

open access: yes, 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

Complexity Measures for Self-Similar and Chemical Graphs Using Entropies and Generalized Fractal Dimensions

open access: yesمجلة بغداد للعلوم
Nonlinear analysis finds numerous applications in understanding the intricate characteristics of generalized Sierpinski graphs or chemical graphs. It aids in discerning the fractal patterns inherent in self-similar structures, deciphering the dynamic ...
J. Bhuvaneswari, D. Easwaramoorthy
doaj   +1 more source

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  

Biodegradable Chitosan Films as Green Resists for Gold Nanowires Fabrication Through AFM‐Based Nanolithography

open access: yesAdvanced Materials Interfaces, Volume 13, Issue 14, 21 July 2026.
Schematic illustration of a sustainable nanofabrication process: chitosan derived from natural sources is used as a biodegradable thin film resist, patterned via Constant Pulse‐Assisted Force Lithography (CP‐AFL) to create tunable nanogrooves. These grooves template gold nanowire formation, enabling high‐resolution nanopatterning under ambient ...
Paolo Pellegrino   +7 more
wiley   +1 more source

Extrema property of the k-ranking of directed paths and cycles

open access: yesAKCE International Journal of Graphs and Combinatorics, 2016
A k-ranking of a directed graph G is a labeling of the vertex set of G with k positive integers such that every directed path connecting two vertices with the same label includes a vertex with a larger label in between.
Breeanne Baker Swart   +3 more
doaj   +1 more source

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

open access: yesInfoScience, Volume 3, Issue 2, June 2026.
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

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

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