Results 11 to 20 of about 5,124 (198)
Triangular-grid billiards and plabic graphs
Combinatorial Theory, 2023 16 pages, 13 ...
Defant, Colin, Jiradilok, Pakawut
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Two-Step Colouring of Grid Graphs of Different Types
Моделирование и анализ информационных систем, 2022 In this article, we consider the NP-hard problem of the two-step colouring of a graph. It is required to colour the graph in a given number of colours in a way, when no pair of vertices has the same colour, if these vertices are at a distance of 1 or 2 ...
Alexander Valeryevich Smirnov
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Domination and Independent Domination in Extended Supergrid Graphs
Algorithms, 2022 Supergrid graphs are derived by computing stitch paths for computerized embroidery machines. In the past, we have studied the Hamiltonian-related properties of supergrid graphs and their subclasses of graphs. In this paper, we propose a generalized graph
Jong-Shin Chen +3 more
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AVD proper edge-coloring of some families of graphs
International Journal of Mathematics for Industry, 2021 Adjacent vertex-distinguishing proper edge-coloring is the minimum number of colors required for the proper edge-coloring of [Formula: see text] in which no two adjacent vertices are incident to edges colored with the same set of colors.
J. Naveen
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On Triangular Secure Domination Number
InPrime, 2020 Let T_m=(V(T_m), E(T_m)) be a triangular grid graph of m ϵ N level. The order of graph T_m is called a triangular number. A subset T of V(T_m) is a dominating set of T_m if for all u_V(T_m)\T, there exists vϵT such that uv ϵ E(T_m), that is, N[T]=V(T_m).
Emily L Casinillo +3 more
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Applying Infinite Petri Nets to the Cybersecurity of Intelligent Networks, Grids and Clouds
Applied Sciences, 2021 Correctness of networking protocols represents the principal requirement of cybersecurity. Correctness of protocols is established via the procedures of their verification. A classical communication system includes a pair of interacting systems.
Dmitry A. Zaitsev +2 more
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AKCE International Journal of Graphs and Combinatorics, 2021 We introduce new labeling called m-bonacci graceful labeling. A graph G on n edges is m-bonacci graceful if the vertices can be labeled with distinct integers from the set such that the derived edge labels are the first n m-bonacci numbers.
Kalpana Mahalingam +1 more
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On the edge irregularity strength of grid graphs
AKCE International Journal of Graphs and Combinatorics, 2020 For a simple graph G, a vertex labeling is called a vertex -labeling. For any edge in , its weight . If all the edge weights are distinct, then is called an edge irregular -labeling of .
I. Tarawneh, R. Hasni, A. Ahmad
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IEEE Access, 2021 Concerning the coordination of autonomous mobile robots, the main focus has been on the important class of Pattern Formation problems, where the robots are required to arrange themselves to form a given geometric shape.
Serafino Cicerone
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Probabilistic Distributed Algorithm for Uniform Election in Triangular Grid Graphs [PDF]
International Journal of Advanced Computer Science and Applications, 2013 Probabilistic algorithms are designed to handle problems that do not admit deterministic effective solutions.In the case of the election problem, many algorithms are available and applicable under appropriate assumptions, for example: the uniform election in trees, k-trees and polyominoids.In this paper, first, we introduce a probabilistic algorithm ...
Elham Mehdi, Ismail Hind, Abdelaaziz El
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