Results 31 to 40 of about 1,361,736 (138)

Flat-Bands on Partial Line Graphs -- Systematic Method for Generating Flat-Band Lattice Structures

, 2005
We introduce a systematic method for constructing a class of lattice structures that we call ``partial line graphs''.In tight-binding models on partial line graphs, energy bands with flat energy dispersions emerge.This method can be applied to two- and ...
Arita R., Fujita M., Imada M., Kusakabe K., Lieb E. H., Mielke A., Mielke A., Mielke A., Nishino S., Nishino S., Shima N., Tasaki H., Tasaki H., Tasaki H.   +13 more
core   +1 more source

Line graphs and $2$-geodesic transitivity [PDF]

, 2012
For a graph $\Gamma$, a positive integer $s$ and a subgroup $G\leq \Aut(\Gamma)$, we prove that $G$ is transitive on the set of $s$-arcs of $\Gamma$ if and only if $\Gamma$ has girth at least $2(s-1)$ and $G$ is transitive on the set of $(s-1)$-geodesics
Devillers, Alice, Jin, Wei, Li, Cai Heng, Praeger, Cheryl E.   +3 more
core  

Almost borderenergetic line graphs

Discrete 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

Minimal line graphs [PDF]

Glasgow 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

Interval-valued bipolar fuzzy line graphs. [PDF]

BMC Res Notes, 2023
Tola KA, Repalle VNSR, Ashebo MA.
europepmc   +1 more source

Molecular graph contrastive learning with line graph

Pattern Recognition
Trapped by the label scarcity in molecular property prediction and drug design, graph contrastive learning (GCL) came forward. Leading contrastive learning works show two kinds of view generators, that is, random or learnable data corruption and domain knowledge incorporation.
Xueyuan Chen, Shangzhe Li, Ruomei Liu, Bowen Shi, Jiaheng Liu, Junran Wu, Ke Xu   +6 more
openaire   +2 more sources

Interval Valued Intuitionistic Fuzzy Line Graphs. [PDF]

BMC Res Notes, 2022
Repalle VNSR, Tola KA, Ashebo MA.
europepmc   +1 more source

Computing the Entropy Measures for the Line Graphs of Some Chemical Networks. [PDF]

Comput Intell Neurosci, 2022
Hanif MF, Mahmood H, Manzoor S, Petros FB.   +3 more
europepmc   +1 more source

Asymptotic enumeration of 2-covers and line graphs

, 2007
In this paper we find asymptotic enumerations for the number of line graphs on $n$-labelled vertices and for different types of related combinatorial objects called 2-covers.
Cameron, Peter, Prellberg, Thomas, Stark, Dudley   +2 more
core   +1 more source

Comparison of Moseley and Rotterdam straight-line graphs in predicting leg lengths and leg-length discrepancy at maturity. [PDF]

J Child Orthop, 2019
Shahrestani S, Makarov MR, Jo CH, Birch JG.   +3 more
europepmc   +1 more source