Topic
Gain graph
About: Gain graph is a research topic. Over the lifetime, 68 publications have been published within this topic receiving 929 citations.
Papers published on a yearly basis
Papers
TL;DR: In this article, the adjacency, incidence and Laplacian matrices of a complex unit gain graph are studied and eigenvalue bounds for the adjACency matrix are derived.
132 citations
TL;DR: In this paper, a theory of orientation on gain graphs (voltage graphs) was developed to generalize the notion of orientation for graphs and signed graphs, and the line graph of a gain graph was studied.
44 citations
TL;DR: A complex unit gain graph as discussed by the authors is a simple graph in which each orientation of an edge is given a complex number with modulus 1 and its inverse is assigned to the opposite orientation of the edge.
Abstract: A complex unit gain graph is a simple graph in which each orientation of an edge is given a complex number with modulus 1 and its inverse is assigned to the opposite orientation of the edge. In thi...
35 citations
TL;DR: Some properties of inertia of T -gain graph are investigated, including numbers of the positive, negative and zero eigenvalues of A(?) including multiplicities, respectively.
32 citations
TL;DR: This paper provides a combinatorial description of det ( L ( G ) ) that generalizes that for the determinant of the Laplacian matrix of a signed graph.
30 citations
Related Topics (5)
Performance Metrics
| Year | Papers |
|---|---|
| 2022 | 2 |
| 2021 | 12 |
| 2020 | 13 |
| 2019 | 6 |
| 2018 | 5 |
| 2017 | 4 |