Localization of sensors has become an essential issue in wireless networks. This paper
presents a decentralized approach to localize sensors in indoor environments. The targeted …

We utilize recently introduced linear programming bounds for the energy of periodic
configurations in $\mathbb {R}^ d $ to construct periodic configurations $\omega^* _\beta+ …

The Kuratowski graphs K 3, 3 and K 5 characterize planarity. Counting distinct 2-cell
embeddings of these two graphs on orientable surfaces was previously done by Mull (1999) …

The Kuratowski graphs $ K_ {3, 3} $ and $ K_5 $ characterize planarity. Counting distinct 2-
cell embeddings of these two graphs on orientable surfaces was previously done by using …

We develop linear programming bounds for the energy of configurations in Euclidean space
which are periodic with respect to a lattice. In certain cases, the construction of sharp bounds …

Optimal packings of 2,3, and 4 equal balls into a cubical flat 3-torus | SpringerLink Skip to
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We consider coverings of the square flat torus (the quotient of the plane by the lattice
generated by two unit perpendicular vectors) by congruent discs of minimal radius. These …