TY - GEN

T1 - On an optimal algorithm for channel assignment in cellular networks

AU - Sen, Arunabha

AU - Roxborough, Tom

AU - Sinha, Bhabani P.

N1 - Publisher Copyright:
© 1999 IEEE.

PY - 1999

Y1 - 1999

N2 - A cellular network is often modelled as a graph and the channel assignment problem is formulated as a coloring problem of the graph. Sen et al. (1998) introduced the notion of cellular graphs that models the hexagonal cell structure of a cellular network. Assuming a k-band buffering system where the interference does not extend beyond k cells away from the call originating cell, we provided two different formulations of the channel assignment problem: Distance-k chromatic number problem and k-band chromatic bandwidth problem. The channel assignment algorithms presented in Sen et al. were non-optimal. In this paper we provide: (i) a new algorithm for the distance-k chromatic number problem that is optimal and (ii) a near optimal algorithm for the 2-band chromatic bandwidth problem that has a performance bound of 4/3. The complexity of the algorithms is O(p), where p is the number of cells.

AB - A cellular network is often modelled as a graph and the channel assignment problem is formulated as a coloring problem of the graph. Sen et al. (1998) introduced the notion of cellular graphs that models the hexagonal cell structure of a cellular network. Assuming a k-band buffering system where the interference does not extend beyond k cells away from the call originating cell, we provided two different formulations of the channel assignment problem: Distance-k chromatic number problem and k-band chromatic bandwidth problem. The channel assignment algorithms presented in Sen et al. were non-optimal. In this paper we provide: (i) a new algorithm for the distance-k chromatic number problem that is optimal and (ii) a near optimal algorithm for the 2-band chromatic bandwidth problem that has a performance bound of 4/3. The complexity of the algorithms is O(p), where p is the number of cells.

UR - http://www.scopus.com/inward/record.url?scp=84977862247&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84977862247&partnerID=8YFLogxK

U2 - 10.1109/ICC.1999.765476

DO - 10.1109/ICC.1999.765476

M3 - Conference contribution

AN - SCOPUS:84977862247

T3 - IEEE International Conference on Communications

SP - 1147

EP - 1151

BT - IEEE International Conference on Communications

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 1999 IEEE International Conference on Communications, ICC 1999

Y2 - 6 June 1999 through 10 June 1999

ER -