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Shellable cactus graphs

Mathematica Scandinavica (2010) 106(2) 161-167
DOI: 10.7146/math.scand.a-15130
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Abstract

In this paper a newclass of vertex decomposable graphs are determined. Moreover, all shellable and sequentially Cohen-Macaulay cactus graphs (i.e., connected graphs in which each edge belongs to at most one cycle) are characterized.

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Mohammadi, F., Kiani, D., & Yassemi, S. (2010). Shellable cactus graphs. Mathematica Scandinavica, 106(2), 161–167. https://doi.org/10.7146/math.scand.a-15130

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