Results 91 to 100 of about 5,251,465 (203)
Atom-bond sum-connectivity index of line graphs [PDF]
Yanyan Ge, Zhen Lin, Jiajia Wang
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We study the line graphs of bipartite multigraphs, which naturally arise in combinatorics, game theory, and applications such as scheduling and motion planning.
Drago Bokal, Janja Jerebic
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GENERAL APPROACH TO LINE GRAPHS OF GRAPHS
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Marczyk, Antoni, Skupień, Zdzisław
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The asymptotic behavior of some indices of iterated line graphs of regular graphs
In this paper, we consider the asymptotic behavior of the number of spanning trees and the Kirchhoff index of iterated line graphs and iterated para-line graphs (or clique-inserted graphs) of a regular graph G.
Yan, Weigen +3 more
core
A novel algebraic technique for adjacency matrices of some derived graphs
Graph energy has been the main concern of spectral graph theory in the last five decades. The classical graph energy is the sum of the absolute values of the eigenvalues of the adjacency matrix. In many research papers, different versions of graph energy
Hacer Ozden Ayna +5 more
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Hierarchical Line Graph Neural Network: A Study on Alternative Representations of Graph-Structured Data [PDF]
openThis thesis addresses the challenge of feature-smoothing common in deep graph neural networks (GNNs), a topic of considerable interest over the past decade.
MOHAMMADI, SOLMAZ
core
Total edge-betweenness centrality measure of a graph
Edge-betweenness centrality measure is an important centrality measure that focuses on the role of edges in a graph. The total edge-betweenness centrality measure (EBCM) of a graph is defined as the sum of the edge-betweenness centrality measures of all ...
Niveditha +2 more
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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
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Graphs isomorphic to subgraphs of their line-graphs
AbstractAn embedding of graph G into graph H is by defenition an isomorphism of G onto a subgraph of H. It is shown in this paper that every unicycle U embeds in its line-graph L(U), and that every other connected graph that embeds in its own line-graph may be constructed from such an embedded unicycle in a natural way.
Douglas Bauer, Ralph Tindell
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