Dominoes is a popular and well-known game possibly dating back three millennia. Players are given a set of domino tiles, each with two labeled square faces, and take turns connecting them into a growing chain of dominoes by matching identical faces. We show that singleplayer dominoes is in P, while multiplayer dominoes is hard: when players cooperate, the game is NP-complete, and when players c...

The European Control Association was founded in 1990. Its first initiative was to establish a series of conferences. The European Control Conference (ECC) has been held bi-annually since 1991, the first one in Grenoble under the general chairmanship of Prof. Ioan Landau. He also served as the first Editor-in-Chief of the European Journal of Control (EJCON), which published its premiere issue in...

In this paper we formalize the concept of square tiles with colored corners, a new kind of tiles closely related to Wang tiles. We construct aperiodic sets of square tiles with colored corners and several new aperiodic sets of Wang tiles using isomorphisms between tilings. The smallest aperiodic set of square tiles with colored corners we have created consists of 44 tiles over 6 colors.

ACKNOWLEDGEMENTS First of all, I would like to express my special and sincere gratitude to my advisor Dr. George Vachtsevanos for his persistent guidance and trust throughout my research. His enthusiasm for the career affected me greatly. I would also like to thank my co-advisor Dr. Bonnie Heck-Ferri and Wayne Daley, my project supervisor, for their support and technical discussions. Secondly, ...

i-Tree Streets/Design and Eco estimate annual rainfall interception by urban forest based on different physics-based water balance models. Streets/Design is based on Xiao et al. (1998), while Eco is based on Wang et al. (2008) and improved by Hirabayashi (2013). In Xiao et al. (1998), annual rainfall interception percentage against the gross precipitation in Sacramento County, CA was estimated ...

We define a partition $\mathcal{P}_0$ and $\mathbb{Z}^2$-rotation ($\mathbb{Z}^2$-action defined by rotations) on 2-dimensional torus whose associated symbolic dynamical system is minimal proper subshift of the Jeandel-Rao aperiodic Wang shift 11 tiles. another $\mathcal{P}_\mathcal{U}$ $\mathbb{T}^2$ equal to 19 This proves that Markov for $\mathbb{T}^2$. prove in both cases toral maximal equi...