TR-2009-09

Inductive Constructions in the Analysis of Two-Dimensional Rigid Structures

Bill Jackson, Tibor Jordán

Published in:
6th Japanese Hungarian symposium on discrete mathematics and its applications, Budapest, May 2009, 131-140.

We give an overview of how inductive constructions of certain families of graphs can be used to characterize and analyze the generic behaviour of two-dimensional frameworks with respect to rigidity and global rigidity.
 
We also give a different proof for (a slightly stronger version of) a result of Servatius and Whiteley on the construction of minimally rigid mixed graphs.

Bibtex entry:

@techreport{egres-09-09,

AUTHOR	=	{Jackson, Bill and Jord{\'a}n, Tibor},
TITLE	=	{Inductive Constructions in the Analysis of Two-Dimensional Rigid Structures},
NOTE	=	{{\tt egres.elte.hu}},
INSTITUTION	=	{Egerv{\'a}ry Research Group, Budapest},
YEAR	=	{2009},
NUMBER	=	{TR-2009-09}

}