19 citations · 46 across the 6 of their papers we have counts for
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Lower bound for the rank of rigidity matrix of 4-valent graphs under various connectivity assumptions
Shisen Luo
In this paper we study the rank of planar rigidity matrix of 4-valent graphs, both in case of generic realizations and configurations in general position, under various connectivit…
On Graph Cohomology and Betti Numbers of Hamiltonian GKM Manifolds
Shisen Luo
In this paper we introduce the concept of characteristic number that are proven to be useful in the study of the combinatorics of graph cohomology. We claim that it is a good combi…
Moment Angle Complexes and Big Cohen-Macaulayness
Shisen Luo, Tomoo Matsumura, W. Frank Moore
Let Z_K be the moment angle complex associated to a simplicial complex K, with the canonical torus T-action. In this paper, we prove that, for any possibly disconnected subgroup G…
Lower Bound For The Rank Of 2-Dimensional Generic Rigidity Matroid For Regular Graphs Of Degree Four And Five
Shisen Luo
In this note we prove a lower bound for the rank of 2-dimensional generic rigidity matroid for regular graphs of degree four and five. Also, we give examples to show the order of t…