<p>In this paper, we derive formulae to compute the graded Betti numbers in the linear strand, the Castelnuovo-Mumford regularity and the projective dimension of edge ideals of double triangular graphs in terms of their combinatorial data.</p>

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Some homological invariants of double triangular graphs

  • Pavinder Singh,
  • Rohit Verma

摘要

In this paper, we derive formulae to compute the graded Betti numbers in the linear strand, the Castelnuovo-Mumford regularity and the projective dimension of edge ideals of double triangular graphs in terms of their combinatorial data.