Abstract

Boij-Söderberg Theory views the Betti diagrams of graded modules over polynomial rings as vectors in a Q -vector space, and studies the cone that these vectors generate (called a ‘Betti Cone’). The objects of study in this paper are the Betti cones generated by edge ideals. This paper presents and proves a formula for the dimensions of these cones, and for the subcones generated by edge ideals of specific heights.

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