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—In this paper, a new topology for cascaded multilevel converter based on submultilevel converter units and full-bridge converters is proposed. The proposed topology significantly reduces the number of dc voltage sources, switches, IGBTs, and power diodes as the number of output voltage levels increases. Also, an algorithm to determine dc voltage sources… (More)

We present a polynomial time algorithm for mul ticasting rate h to N receivers over deterministic networks. Our algorithm requires intermediate network nodes to perform coding operations over vectors of a finite length L, through multiplication with L x L binary coding matrices that play the same role as coding coefficients over graphs. Our code design… (More)

- Javad Ebrahimi, B, Christina Fragouli
- 2010

—In vector network coding, the source multi-casts information by transmitting vectors of length L, while intermediate nodes process and combine their incoming packets by multiplying them with L × L coding matrices that play a similar role as coding coefficients in scalar coding. Vector network coding generalizes scalar coding, and thus offers a wider range… (More)

The unit distance graph R is the graph with vertex set R 2 in which two vertices (points in the plane) are adjacent if and only if they are at Euclidean distance 1. We prove that the circular chromatic number of R is at least 4, thus improving the known lower bound of 32/9 obtained from the fractional chromatic number of R. 1. Introduction. The unit… (More)

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