TY - JOUR
T1 - Connectivity of pseudomanifold graphs from an algebraic point of view
AU - Adiprasito, Karim A.
AU - Goodarzi, Afshin
AU - Varbaro, Matteo
N1 - Publisher Copyright:
© 2015 Académie des sciences.
PY - 2015
Y1 - 2015
N2 - The connectivity of graphs of simplicial and polytopal complexes is a classical subject going back at least to Steinitz, and the topic has since been studied by many authors, including Balinski, Barnette, Athanasiadis, and Björner. In this note, we provide a unifying approach that allows us to obtain more general results. Moreover, we provide a relation to commutative algebra by relating connectivity problems to graded Betti numbers of the associated Stanley-Reisner rings.
AB - The connectivity of graphs of simplicial and polytopal complexes is a classical subject going back at least to Steinitz, and the topic has since been studied by many authors, including Balinski, Barnette, Athanasiadis, and Björner. In this note, we provide a unifying approach that allows us to obtain more general results. Moreover, we provide a relation to commutative algebra by relating connectivity problems to graded Betti numbers of the associated Stanley-Reisner rings.
UR - http://www.scopus.com/inward/record.url?scp=84951310212&partnerID=8YFLogxK
U2 - 10.1016/j.crma.2015.09.018
DO - 10.1016/j.crma.2015.09.018
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AN - SCOPUS:84951310212
SN - 1631-073X
VL - 353
SP - 1061
EP - 1065
JO - Comptes Rendus Mathematique
JF - Comptes Rendus Mathematique
IS - 12
ER -