Results 21 to 30 of about 4,649,293 (309)
A number theoretic problem on super line graphs
AKCE International Journal of Graphs and Combinatorics, 2016 In Bagga et al. (1995) a generalization of the line graph concept was introduced. Given a graph G with at least r edges, the super line graph of index r, Lr(G), has as its vertices the sets of r edges of G, with two adjacent if there is an edge in one ...
Jay Bagga, Lowell Beineke, Badri Varma
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On the Planarity of Generalized Line Graphs
Theory and Applications of Graphs, 2019 One of the most familiar derived graphs is the line graph. The line graph $L(G)$ of a graph $G$ is that graph whose vertices are the edges of $G$ where two vertices of $L(G)$ are adjacent if the corresponding edges are adjacent in~$G$.
Khawlah H. Alhulwah +2 more
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Incidence matrices and line graphs of mixed graphs
Special Matrices, 2023 In the theory of line graphs of undirected graphs, there exists an important theorem linking the incidence matrix of the root graph to the adjacency matrix of its line graph. For directed or mixed graphs, however, there exists no analogous result.
Abudayah Mohammad +2 more
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Fragile topology in line-graph lattices with two, three, or four gapped flat bands
Physical Review Research, 2020 The authors present a theoretical formalism to determine the band topology of flat bands in line-graph lattices, identifying families of lattices with fragile-topological flat bands.
Christie S. Chiu +4 more
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Structural properties of the line-graphs associated to directed networks
Networks and Heterogeneous Media, 2012 The centrality and efficiency measures of an undirected network $G$ were shown by the authors to be strongly related to the respective measures on the associated line graph $L(G)$.
Regino Criado +3 more
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General Randić indices of a graph and its line graph
Open Mathematics, 2023 For a real number α\alpha , the general Randić index of a graph GG, denoted by Rα(G){R}_{\alpha }\left(G), is defined as the sum of (d(u)d(v))α{\left(d\left(u)d\left(v))}^{\alpha } for all edges uvuv of GG, where d(u)d\left(u) denotes the degree of a ...
Liang Yan, Wu Baoyindureng
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Dynamic Origin–Destination Matrix Prediction with Line Graph Neural Networks and Kalman Filter [PDF]
Transportation Research Record, 2019 Modern intelligent transportation systems provide data that allow real-time dynamic demand prediction, which is essential for planning and operations.
Xincheng Xiong +3 more
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Solutions of Detour Distance Graph Equations
Sensors, 2022 Graph theory is a useful mathematical structure used to model pairwise relations between sensor nodes in wireless sensor networks. Graph equations are nothing but equations in which the unknown factors are graphs.
S. Celine Prabha +7 more
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On the planarity of line Mycielskian graph of a graph
Ratio Mathematica, 2020 The line Mycielskian graph of a graph G, denoted by Lμ(G) is defined as the graph obtained from L(G) by adding q+1 new vertices E' = ei' : 1 ≤ i ≤ q and e, then for 1 ≤ i ≤ q , joining ei' to the neighbours of ei and to e.
Keerthi G. Mirajkar +1 more
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Under which conditions is λ″(G)=κ″(L(G))?
AKCE International Journal of Graphs and Combinatorics, 2023 In this paper we show that if G is a connected graph such that [Formula: see text], [Formula: see text] and [Formula: see text] then [Formula: see text] exists and [Formula: see text] if and only if G is not super-[Formula: see text]. We also obtain some
Farnaz Soliemany +2 more
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