Department of Computer Science | Institute of Theoretical Computer Science | CADMO

Theory of Combinatorial Algorithms

Prof. Emo Welzl and Prof. Bernd Gärtner

Mittagsseminar (in cooperation with A. Steger, D. Steurer and B. Sudakov)

Mittagsseminar Talk Information

Date and Time: Tuesday, July 26, 2005, 12:15 pm

Duration: This information is not available in the database

Location: This information is not available in the database

Speaker: Takeaki Uno (National Institute of Informatics (NII)

Tree Enumeration Algorithms

In this talk, we consider several problems of enumerating all (non-isomorphic) trees of at most n vertices, where n is a given input number. We give algorithms for solving the enumeration problems. Each algorithm take O(1) time for each tree to be output, i.e., the running time of the algorithms is linear in the number of trees. The technique the algorithms use is reverse search. We give a parent-child relation for trees so that the relation induces a directed spanning tree (search tree) on the set of trees. Since the parent-child relation is simple and has a good property, we can generate children of a parent tree in O(1) time for each, Thus, to traverse the tree, we take O(1) time for each move, and we can enumerate all the tree in O(1) time for each.

Upcoming talks     |     All previous talks     |     Talks by speaker     |     Upcoming talks in iCal format (beta version!)

Previous talks by year:   2024  2023  2022  2021  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  

Information for students and suggested topics for student talks

Automatic MiSe System Software Version 1.4803M   |   admin login