Conflict-free colorings of shallow discs Conference Paper uri icon

abstract

  • We prove that any collection of n discs in which each one intersects at most k others, can be colored with at most O (log 3 k) colors so that for each point p in the union of all discs there is at least one disc in the collection containing p whose color differs from that of all other members of the collection that contain p. This is motivated by a problem on frequency assignments in cellular networks, and improves the best previously known upper bound of O (log n) when k is much smaller than n.

publication date

  • January 1, 2006