| Autor: |
Roshni T. Roy, Shahul Hameed K., Germina K.A. |
| Jazyk: |
angličtina |
| Rok vydání: |
2021 |
| Předmět: |
|
| Zdroj: |
Electronic Journal of Graph Theory and Applications, Vol 9, Iss 1, Pp 125-135 (2021) |
| Druh dokumentu: |
article |
| ISSN: |
2338-2287 |
| DOI: |
10.5614/ejgta.2021.9.1.12 |
| Popis: |
Gain graphs are graphs where the edges are given some orientation and labeled with the elements (called gains) from a group so that gains are inverted when we reverse the direction of the edges. Generalizing the notion of gain graphs, skew gain graphs have the property that the gain of a reversed edge is the image of edge gain under an anti-involution. In this paper, we study two different types, Laplacian and g-Laplacian matrices for a skew gain graph where the skew gains are taken from the multiplicative group Fx of a field F of characteristic zero. Defining incidence matrix, we also prove the matrix tree theorem for skew gain graphs in the case of the g-Laplacian matrix. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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