TY - JOUR
T1 - Path ideals of weighted graphs
AU - Kubik, Bethany
AU - Sather-Wagstaff, Sean
N1 - Publisher Copyright:
© 2014 Elsevier B.V.
PY - 2015/9/1
Y1 - 2015/9/1
N2 - We introduce and study the weighted r-path ideal of a weighted graph Gω, which is a common generalization of Conca and De Negri's r-path ideal for unweighted graphs and Paulsen and Sather-Wagstaff's edge ideal of the weighted graph. Over a field, we explicitly describe primary decompositions of these ideals, and we characterize Cohen-Macaulayness of these ideals for trees (with arbitrary r) and complete graphs (for r=2).
AB - We introduce and study the weighted r-path ideal of a weighted graph Gω, which is a common generalization of Conca and De Negri's r-path ideal for unweighted graphs and Paulsen and Sather-Wagstaff's edge ideal of the weighted graph. Over a field, we explicitly describe primary decompositions of these ideals, and we characterize Cohen-Macaulayness of these ideals for trees (with arbitrary r) and complete graphs (for r=2).
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U2 - 10.1016/j.jpaa.2014.12.027
DO - 10.1016/j.jpaa.2014.12.027
M3 - Article
AN - SCOPUS:84927787793
SN - 0022-4049
VL - 219
SP - 3889
EP - 3912
JO - Journal of Pure and Applied Algebra
JF - Journal of Pure and Applied Algebra
IS - 9
ER -