Coordinating Concurrent Transmissions: A Constant-Factor Approximation of Maximum-Weight Independent Set in Local Conflict Graphs [chapter]

Petteri Kaski, Aleksi Penttinen, Jukka Suomela
Ad-Hoc, Mobile, and Wireless Networks  
We study the algorithmic problem of coordinating transmissions in a wireless network where radio interference constrains concurrent transmissions on wireless links. We focus on pairwise conflicts between the links; these can be described as a conflict graph. Associated with the conflict graph are two fundamental network coordination tasks: (a) finding a nonconflicting set of links with the maximum total weight, and (b) finding a link schedule with the minimum total length. Our work shows that
more » ... r work shows that two assumptions on the geometric structure of conflict graphs suffice to achieve polynomial-time constant-factor approximations: (i) bounded density of devices, and (ii) bounded range of interference. We also show that these assumptions are not sufficient to obtain a polynomial-time approximation scheme for either coordination task.
doi:10.1007/978-3-540-74823-6_6 dblp:conf/adhoc-now/KaskiPS07 fatcat:jx43nfkwcvd3ppw4r5doixngom