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math.CO2012★ 3 cited
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…
math.CO2012★ 4 cited
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…