## Integer Priority Queues with Decrease Key in . . . (2003)

Venue: | STOC'03 |

Citations: | 28 - 2 self |

### BibTeX

@MISC{Thorup03integerpriority,

author = {Mikkel Thorup},

title = {Integer Priority Queues with Decrease Key in . . . },

year = {2003}

}

### Years of Citing Articles

### OpenURL

### Abstract

We consider Fibonacci heap style integer priority queues supporting insert and decrease key operations in constant time. We present a deterministic linear space solution that with n integer keys support delete in O(log log n) time. If the integers are in the range [0,N), we can also support delete in O(log log N) time. Even for the special case of monotone priority queues, where the minimum has to be non-decreasing, the best previous bounds on delete were O((log n) 1/(3−ε) ) and O((log N) 1/(4−ε)). These previous bounds used both randomization and amortization. Our new bounds a deterministic, worst-case, with no restriction to monotonicity, and exponentially faster. As a classical application, for a directed graph with n nodes and m edges with non-negative integer weights, we get single source shortest paths in O(m + n log log n) time, or O(m + n log log C) ifC is the maximal edge weight. The later solves an open problem of Ahuja, Mehlhorn, Orlin, and