TL;DR
This paper computes the multigraded Betti numbers for path ideals associated with line and star graphs, advancing understanding of their algebraic properties.
Contribution
It provides explicit calculations of multigraded Betti numbers for path ideals of specific graph classes, which was previously unexplored.
Findings
Betti numbers for path ideals of lines are determined.
Betti numbers for path ideals of star graphs are computed.
Results enhance algebraic understanding of graph-based ideals.
Abstract
We determine (multi)graded Betti numbers of path ideals of lines and star graphs.
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