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- W4367623616 abstract "We introduce a family of graphs, which we call down-left graphs, and study their combinatorial and algebraic properties. We show that members of this family are well-covered, $C_5$-free, and vertex decomposable. By applying a result of H`a-Woodroofe and Moradi--Khosh-Ahang, the (Castelnuovo-Mumford) regularity of the associated edge ideals is the induced matching number of the graph. As an application, we give a combinatorial interpretation for the regularity of the toric ideals of chordal bipartite graphs that are $(K_{3,3} setminus e)$-free." @default.
- W4367623616 created "2023-05-02" @default.
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- W4367623616 date "2023-04-27" @default.
- W4367623616 modified "2023-09-26" @default.
- W4367623616 title "Down-left graphs and a connection to toric ideals of graphs" @default.
- W4367623616 doi "https://doi.org/10.48550/arxiv.2304.14528" @default.
- W4367623616 hasPublicationYear "2023" @default.
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