Bisection of trees and sequences

N. Alon; Y. Caro; I. Krasikov

doi:10.1016/0012-365X(93)90350-3

Bisection of trees and sequences

N. Alon^*, Y. Caro, I. Krasikov

^*Corresponding author for this work

Tel Aviv University

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

4 Scopus citations

Abstract

A graph G is called bisectable if it is an edge-disjoint union of two isomorphic subgraphs. We show that any tree T with e edges contains a bisectable subgraph with at least e-O(e/loglog e) edges. We also show that every forest of size e, each component of which is a star, contains a bisectable subgraph of size at least e-O(log²e).

Original language	English
Pages (from-to)	3-7
Number of pages	5
Journal	Discrete Mathematics
Volume	114
Issue number	1-3
DOIs	https://doi.org/10.1016/0012-365X(93)90350-3
State	Published - 28 Apr 1993

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title = "Bisection of trees and sequences",

abstract = "A graph G is called bisectable if it is an edge-disjoint union of two isomorphic subgraphs. We show that any tree T with e edges contains a bisectable subgraph with at least e-O(e/loglog e) edges. We also show that every forest of size e, each component of which is a star, contains a bisectable subgraph of size at least e-O(log2e).",

author = "N. Alon and Y. Caro and I. Krasikov",

year = "1993",

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AU - Alon, N.

AU - Caro, Y.

AU - Krasikov, I.

PY - 1993/4/28

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N2 - A graph G is called bisectable if it is an edge-disjoint union of two isomorphic subgraphs. We show that any tree T with e edges contains a bisectable subgraph with at least e-O(e/loglog e) edges. We also show that every forest of size e, each component of which is a star, contains a bisectable subgraph of size at least e-O(log2e).

AB - A graph G is called bisectable if it is an edge-disjoint union of two isomorphic subgraphs. We show that any tree T with e edges contains a bisectable subgraph with at least e-O(e/loglog e) edges. We also show that every forest of size e, each component of which is a star, contains a bisectable subgraph of size at least e-O(log2e).

UR - https://www.scopus.com/pages/publications/38249003411

U2 - 10.1016/0012-365X(93)90350-3

DO - 10.1016/0012-365X(93)90350-3

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AN - SCOPUS:38249003411

SN - 0012-365X

VL - 114

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EP - 7

JO - Discrete Mathematics

JF - Discrete Mathematics

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Bisection of trees and sequences

Abstract

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