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TOTAL EDGE IRREGULAR LABELING FOR TRIANGULAR GRID GRAPHS AND RELATED GRAPHS

open access: yesBarekeng, 2023
Let  be a graph with  and  are the set of its vertices and edges, respectively. Total edge irregular -labeling on  is a map from  to  satisfies for any two distinct edges have distinct weights. The minimum  for which the  satisfies the labeling is spoken
Muhammad Nurul Huda, Yeni Susanti
doaj   +2 more sources

CYCLIC PROPERTIES OF TRIANGULAR GRID GRAPHS [PDF]

open access: yesIFAC Postprint Volumes IPPV / International Federation of Automatic Control, 2006
Abstract It is known that all 2-connected, linearly convex triangular grid graphs, with only one exception, are hamiltonian (Reay and Zamfirescu, 2000). In the paper, it is shown that this result holds for a wider class of connected, locally connected triangular grid graphs and, with more exceptions, even for some general class of graphs.
Yury Orlovich   +2 more
exaly   +2 more sources

Word-Representability of Face Subdivisions of Triangular Grid Graphs [PDF]

open access: yesGraphs and Combinatorics, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sergey Kitaev
exaly   +4 more sources

Hamiltonian properties of triangular grid graphs

open access: yesDiscrete Mathematics, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Frank Werner
exaly   +4 more sources

On the Number of Shortest Weighted Paths in a Triangular Grid

open access: yesMathematics, 2020
Counting the number of shortest paths in various graphs is an important and interesting combinatorial problem, especially in weighted graphs with various applications. We consider a specific infinite graph here, namely the honeycomb grid. Changing to its
Benedek Nagy, Bashar Khassawneh
doaj   +3 more sources

A Limit Conjecture on the Number of Hamiltonian Cycles on Thin Triangular Grid Cylinder Graphs

open access: yesDiscussiones Mathematicae Graph Theory, 2018
We continue our research in the enumeration of Hamiltonian cycles (HCs) on thin cylinder grid graphs Cm × Pn+1 by studying a triangular variant of the problem. There are two types of HCs, distinguished by whether they wrap around the cylinder.
Bodroža-Pantić Olga   +3 more
doaj   +2 more sources

On the optimal layout of (K p  − C p ) n into grid and certain structures [PDF]

open access: yesScientific Reports
Interconnection networks constitute complex configurations of processors and communication links that facilitate data transmission between processors in a parallel computing system.
G. Caroline Vincy, David Raj Micheal
doaj   +2 more sources

TriCCo v1.1.0 – a cubulation-based method for computing connected components on triangular grids [PDF]

open access: yesGeoscientific Model Development, 2022
We present a new method to identify connected components on triangular grids used in atmosphere and climate models to discretize the horizontal dimension.
A. Voigt   +3 more
doaj   +1 more source

Edge Intersection Graphs of Paths on a Triangular Grid

open access: yesCoRR, 2022
19 pages, 12 ...
Vitor Tocci Ferreira de Luca   +4 more
openaire   +3 more sources

A Note on Triple Repetition Sequence of Domination Number in Graphs

open access: yesInPrime, 2022
A set D subset of V(G) is a dominating set of a graph G if for all x ϵ V(G)\D, for some y ϵ D such that xy ϵ E(G). A dominating set D subset of V(G) is called a connected dominating set of a graph G if the subgraph induced by D is connected. A connected
Leomarich F. Casinillo   +2 more
doaj   +1 more source

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