Results 81 to 90 of about 1,939,159 (235)

Line and Subdivision Graphs Determined by T 4 -Gain Graphs

open access: yesMathematics, 2019
Let T 4 = { ± 1 , ± i } be the subgroup of fourth roots of unity inside T , the multiplicative group of complex units. For a T 4 -gain graph Φ = ( Γ , T 4 , φ ) , we introduce gain functions on ...
Abdullah Alazemi   +4 more
doaj   +1 more source

Minimizing the Cost of Team Exploration

open access: yes, 2019
A group of mobile agents is given a task to explore an edge-weighted graph $G$, i.e., every vertex of $G$ has to be visited by at least one agent. There is no centralized unit to coordinate their actions, but they can freely communicate with each other ...
BL Golden   +13 more
core   +1 more source

On clique immersions in line graphs [PDF]

open access: green, 2020
Michael Guyer, Jessica McDonald
openalex   +1 more source

Almost borderenergetic line graphs

open access: yesDiscrete Mathematics, Algorithms and Applications
The energy of a graph is calculated by summing the absolute values of the eigenvalues found in its adjacency matrix. In this study, we present examples of line graphs with energy equivalent to the energy of a complete graph, which are called the borderenergetic graphs.
Cahit Dede, Ayşe Dilek Maden
openaire   +2 more sources

Line graph contrastive learning for node classification

open access: yesJournal of King Saud University: Computer and Information Sciences
Existing graph contrastive learning methods often rely on differences in node features within subgraphs, lacking effective capture of the global structural information of the graph.
Mingyuan Li   +5 more
doaj   +1 more source

On •-Line Signed Graphs L•(S)

open access: yesDiscussiones Mathematicae Graph Theory, 2015
A signed graph (or sigraph for short) is an ordered pair S = (Su,σ), where Su is a graph, G = (V,E), called the underlying graph of S and σ : E → {+,−} is a function from the edge set E of Su into the set {+,−}.
Sinha Deepa, Dhama Ayushi
doaj   +1 more source

Perfect Set of Euler Tours of Kp,p,p

open access: yesDiscussiones Mathematicae Graph Theory, 2016
Bermond conjectured that if G is Hamilton cycle decomposable, then L(G), the line graph of G, is Hamilton cycle decomposable. In this paper, we construct a perfect set of Euler tours for the complete tripartite graph Kp,p,p for any prime p and hence ...
Govindan T., Muthusamy A.
doaj   +1 more source

Hypergraph Learning with Line Expansion

open access: yes, 2020
Previous hypergraph expansions are solely carried out on either vertex level or hyperedge level, thereby missing the symmetric nature of data co-occurrence, and resulting in information loss.
Abdelzaher, Tarek   +3 more
core  

Minimal line graphs [PDF]

open access: yesGlasgow Mathematical Journal, 1976
In this paper all graphs will be ordinary graphs, i.e. finite, undirected, and without loops or multiple edges. For points x and y of a graph G, we shall indicate that x is adjacent to y by writing x ⊥ y, and if x is not adjacent to y we shall write xy.
openaire   +2 more sources

Extension of Space Syntax Methods to Generic Urban Variables

open access: yesUrban Science, 2018
We studied generalization of a method for extending configurational studies to variables that are not exclusively geographical, in order to allow investigation of generic relationships in the built environment.
Roberto D’Autilia, Marco Spada
doaj   +1 more source

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