CONSTANT TIME GENERATION OF FREE TREES.

Robert Alan Wright; Bruce Richmond; Andrew Odlyzko; Brendan D. Mckay

doi:10.1137/0215039

CONSTANT TIME GENERATION OF FREE TREES.

Robert Alan Wright, Bruce Richmond, Andrew Odlyzko, Brendan D. Mckay

School of Mathematics

Research output: Contribution to journal › Article › peer-review

67 Scopus citations

Abstract

An algorithm of T. Beyer and S. M. Hedetniemi for generating rooted unlabeled trees is extended to generate unlabeled free trees. All the nonisomorphic trees of a given size are generated, without repetition, in time proportional to the number of trees.

Original language	English (US)
Pages (from-to)	540-548
Number of pages	9
Journal	SIAM Journal on Computing
Volume	15
Issue number	2
DOIs	https://doi.org/10.1137/0215039
State	Published - 1986

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@article{e1345d1af0ba4ba09b10d8be0a519e42,

title = "CONSTANT TIME GENERATION OF FREE TREES.",

abstract = "An algorithm of T. Beyer and S. M. Hedetniemi for generating rooted unlabeled trees is extended to generate unlabeled free trees. All the nonisomorphic trees of a given size are generated, without repetition, in time proportional to the number of trees.",

author = "Wright, {Robert Alan} and Bruce Richmond and Andrew Odlyzko and Mckay, {Brendan D.}",

year = "1986",

doi = "10.1137/0215039",

language = "English (US)",

volume = "15",

pages = "540--548",

journal = "SIAM Journal on Computing",

issn = "0097-5397",

publisher = "Society for Industrial and Applied Mathematics Publications",

number = "2",

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TY - JOUR

T1 - CONSTANT TIME GENERATION OF FREE TREES.

AU - Wright, Robert Alan

AU - Richmond, Bruce

AU - Odlyzko, Andrew

AU - Mckay, Brendan D.

PY - 1986

Y1 - 1986

N2 - An algorithm of T. Beyer and S. M. Hedetniemi for generating rooted unlabeled trees is extended to generate unlabeled free trees. All the nonisomorphic trees of a given size are generated, without repetition, in time proportional to the number of trees.

AB - An algorithm of T. Beyer and S. M. Hedetniemi for generating rooted unlabeled trees is extended to generate unlabeled free trees. All the nonisomorphic trees of a given size are generated, without repetition, in time proportional to the number of trees.

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U2 - 10.1137/0215039

DO - 10.1137/0215039

M3 - Article

AN - SCOPUS:0022709539

SN - 0097-5397

VL - 15

SP - 540

EP - 548

JO - SIAM Journal on Computing

JF - SIAM Journal on Computing

IS - 2

ER -

CONSTANT TIME GENERATION OF FREE TREES.

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