Abstract. 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 the bound we give is sharp
We show that any graph that is generically globally rigid in ℝd has a realization in ℝd both generic...
AbstractM. Iri has proved that the maximum rank for a pivotal system of matrices (i.e., combivalence...
Given a matrix M over a ring K, a target rank r and a bound k, we want to decide whether the rank of...
AbstractA. Dress has made two conjectures concerning the rank function of the 3-dimensional rigidity...
AbstractLet Rd(G) be the d-dimensional rigidity matroid for a graph G=(V,E). For X⊆V let i(X) be the...
AbstractLet Rd(G) be the d-dimensional rigidity matroid for a graph G=(V,E). Combinatorial character...
We consider the concept of abstract 2-dimensional rigidity and provide necessary and sufficient cond...
AbstractThe recent combinatorial characterization of generic global rigidity in the plane by Jackson...
A bar-joint framework (퐺,푝) in ℝ푑 is rigid if the only edge-length preserving continuous motions of ...
AbstractWe give a characterization of the dual of the 2-dimensional generic rigidity matroid R(G) of...
Abstract. Combinatorial rigidity theory seeks to describe the rigidity or flexibility of bar-joint f...
AbstractWe consider the concept of abstract two-dimensional rigidity and provide necessary and suffi...
This data set collects all 4-regular Ramanujan graphs with at most 16 vertices grouped by their rigi...
Abstract. We examine the generic local and global rigidity of various graphs in Rd. Bruce Hendrickso...
A d-dimensional framework is a graph and a map from its vertices to E^d. Such a framework is globall...
We show that any graph that is generically globally rigid in ℝd has a realization in ℝd both generic...
AbstractM. Iri has proved that the maximum rank for a pivotal system of matrices (i.e., combivalence...
Given a matrix M over a ring K, a target rank r and a bound k, we want to decide whether the rank of...
AbstractA. Dress has made two conjectures concerning the rank function of the 3-dimensional rigidity...
AbstractLet Rd(G) be the d-dimensional rigidity matroid for a graph G=(V,E). For X⊆V let i(X) be the...
AbstractLet Rd(G) be the d-dimensional rigidity matroid for a graph G=(V,E). Combinatorial character...
We consider the concept of abstract 2-dimensional rigidity and provide necessary and sufficient cond...
AbstractThe recent combinatorial characterization of generic global rigidity in the plane by Jackson...
A bar-joint framework (퐺,푝) in ℝ푑 is rigid if the only edge-length preserving continuous motions of ...
AbstractWe give a characterization of the dual of the 2-dimensional generic rigidity matroid R(G) of...
Abstract. Combinatorial rigidity theory seeks to describe the rigidity or flexibility of bar-joint f...
AbstractWe consider the concept of abstract two-dimensional rigidity and provide necessary and suffi...
This data set collects all 4-regular Ramanujan graphs with at most 16 vertices grouped by their rigi...
Abstract. We examine the generic local and global rigidity of various graphs in Rd. Bruce Hendrickso...
A d-dimensional framework is a graph and a map from its vertices to E^d. Such a framework is globall...
We show that any graph that is generically globally rigid in ℝd has a realization in ℝd both generic...
AbstractM. Iri has proved that the maximum rank for a pivotal system of matrices (i.e., combivalence...
Given a matrix M over a ring K, a target rank r and a bound k, we want to decide whether the rank of...