Dartmouth logo Dartmouth College Computer Science
Technical Report series
CS home
TR home
TR search TR listserv
By author: A B C D E F G H I J K L M N O P Q R S T U V W X Y Z
By number: 2020, 2019, 2018, 2017, 2016, 2015, 2014, 2013, 2012, 2011, 2010, 2009, 2008, 2007, 2006, 2005, 2004, 2003, 2002, 2001, 2000, 1999, 1998, 1997, 1996, 1995, 1994, 1993, 1992, 1991, 1990, 1989, 1988, 1987, 1986

Finding Real-Valued Single-Source Shortest Paths in o(n^3) Expected Time
Stavros G. Kolliopoulos, Clifford Stein
Dartmouth PCS-TR95-272

Abstract: Given an $n$-vertex directed network $G$ with real costs on the edges and a designated source vertex $s$, we give a new algorithm to compute shortest paths from $s$. Our algorithm is a simple deterministic one with $O(n^2 \log n)$ expected running time over a large class of input distributions.

The shortest path problem is an old and fundamental problem with a host of applications. Our algorithm is the first strongly-polynomial algorithm in over 35 years to improve upon some aspect of the running time of the celebrated Bellman-Ford algorithm for arbitrary networks, with any type of cost assignments.

PDF PDF (1355KB)

Bibliographic citation for this report: [plain text] [BIB] [BibTeX] [Refer]

Or copy and paste:
   Stavros G. Kolliopoulos and Clifford Stein, "Finding Real-Valued Single-Source Shortest Paths in o(n^3) Expected Time." Dartmouth Computer Science Technical Report PCS-TR95-272, October 1995.

Notify me about new tech reports.

Search the technical reports.

To receive paper copy of a report, by mail, send your address and the TR number to reports AT cs.dartmouth.edu

Copyright notice: The documents contained in this server are included by the contributing authors as a means to ensure timely dissemination of scholarly and technical work on a non-commercial basis. Copyright and all rights therein are maintained by the authors or by other copyright holders, notwithstanding that they have offered their works here electronically. It is understood that all persons copying this information will adhere to the terms and constraints invoked by each author's copyright. These works may not be reposted without the explicit permission of the copyright holder.

Technical reports collection maintained by David Kotz.