The edge ideal of a graph and its splitting graphs

2019/08/10 by Jürgen Herzog, Herzog, Jürgen, Somayeh Moradi +3
Mathematics · #Commutative Algebra (math.AC) #FOS: Mathematics #math.AC

paper · pdf · doi:10.48550/arxiv.1908.03769

to appear in Journal of Commutative Algebra

arxiv created 2019/08/24 · arxiv updated 2019/08/27

Abstract

We introduce and study the concept which we call the splitting of a graph and compare algebraic properties of the edge ideals of graphs and those of their splitting graphs.

Related

• Splitting cycles in graphs
• Complementary edge ideals
• Vertex Collapsing and Cut Ideals
• Algebraic properties of edge ideals via combinatorial topology
• The edge ideals of the join of some vertex weighted oriented graphs