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Matroids of Gain Signed Graphs | | Laura Anderson
; Ting Su
; Thomas Zaslavsky
; | | Date: |
1 Jun 2022 | | Abstract: | A signed graph has edge signs. A gain graph has oriented edge gains drawn
from a group. We define the combination of the two for the abelian case, in
which each oriented edge of a signed graph has a gain from an abelian group,
concentrating on the case of the additive group of a field. We develop the
elementary graph properties, the associated matroid, and the vector and
hyperplanar representations. | | Source: | arXiv, 2206.00237 | | Services: | Forum | Review | PDF | Favorites | |
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