@inbook {IOPORT.06101511,
    author       = {Kanj, Iyad A. and Xia, Ge},
    title        = {On certain geometric properties of the Yao-Yao graphs.},
    year         = {2012},
    booktitle    = {Combinatorial optimization and applications. 6th international conference, COCOA 2012, Banff, AB, Canada, August 5--9, 2012. Proceedings},
    isbn         = {978-3-642-31769-9},
    pages        = {223-233},
    publisher    = {Berlin: Springer},
    doi          = {10.1007/978-3-642-31770-5_20},
    abstract     = {Summary: We show that, for any constant $\rho > 1$, there exists an integer constant $k$ such that the Yao-Yao graph with parameter $k$ defined on a civilized unit disk graph is a geometric spanner of stretch factor $\rho $. This improves the results of Wang and Li in several aspects, as described in the paper. We also show that the Yao-Yao graph with parameter $k = 4$ defined on the complete Euclidean graph is not a spanner and is not plane. This partially answers an open problem posed by Demaine, Mitchell and O'Rourke about the spanner properties of Yao-Yao graphs.},
    identifier   = {06101511},
}