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- W2895512086 abstract "A signed graph is a pair $(G,tau)$ of a graph $G$ and its sign $tau$, where a textit{sign} $tau$ is a function from ${ (e,v)mid ein E(G),vin V(G), vin e}$ to ${1,-1}$. Note that graphs or digraphs are special cases of signed graphs. In this paper, we study the toric ideal $I_{(G,tau)}$ associated with a signed graph $(G,tau)$, and the results of the paper give a unified idea to explain some known results on the toric ideals of a graph or a digraph. We characterize all primitive binomials of $I_{(G,tau)}$, and then focus on the complete intersection property. More precisely, we find a complete list of graphs $G$ such that $I_{(G,tau)}$ is a complete intersection for every sign $tau$." @default.
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- W2895512086 date "2018-10-04" @default.
- W2895512086 modified "2023-09-27" @default.
- W2895512086 title "On toric ideals arising from signed graphs" @default.
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