We give a combinatorial formula for the inverses of the alternating sums of free quasi-symmetric functions of the form F(I) where I runs over compositions with parts in a prescribe...
An antimagic labeling of a connected graph with m edges is an injective assignment of labels from {1, . . . , m} to the edges such that the sums of incident labels are distinct at...
Branching vector addition systems are an extension of vector addition systems where new reachable vectors may be obtained by summing two reachable vectors and adding an integral v...
A k-signed r-set on [n] = {1, ..., n} is an ordered pair (A, f), where A is an rsubset of [n] and f is a function from A to [k]. Families A1, ..., Ap are said to be cross-intersec...
—In this paper, we propose a new resource allocation scheme for an OFDMA relay network with multicells. In the proposed scheme, by sharing the channel state information (CSI) bet...