Single bend paths on a grid have strong helly number 4: Errata atque emendationes ad "edge intersection graphs of single bend paths on a grid"

Martin Charles Golumbic; Marina Lipshteyn; Michal Stern

doi:10.1002/net.21509

Single bend paths on a grid have strong helly number 4: Errata atque emendationes ad "edge intersection graphs of single bend paths on a grid"

Martin Charles Golumbic
, Marina Lipshteyn
, Michal Stern

Department of Computer Science

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

Abstract

In this note, we prove that a collection of single bend paths on a grid, the so-called B₁ representations, have strong Helly number 4. This corrects a false claim from Ref. [Golumbic et al., Networks, 54 (2009), 130-138; and other errata are also corrected.

Original language	English
Pages (from-to)	161-163
Number of pages	3
Journal	Networks
Volume	62
Issue number	2
DOIs	https://doi.org/10.1002/net.21509
State	Published - Sep 2013

Keywords

B -EPG graphs
intersecting paths on a grid
intersection graphs
strong Helly number

ASJC Scopus subject areas

Software
Information Systems
Hardware and Architecture
Computer Networks and Communications

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10.1002/net.21509

Cite this

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title = "Single bend paths on a grid have strong helly number 4: Errata atque emendationes ad {"}edge intersection graphs of single bend paths on a grid{"}",

abstract = "In this note, we prove that a collection of single bend paths on a grid, the so-called B1 representations, have strong Helly number 4. This corrects a false claim from Ref. [Golumbic et al., Networks, 54 (2009), 130-138; and other errata are also corrected.",

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AU - Lipshteyn, Marina

AU - Stern, Michal

PY - 2013/9

Y1 - 2013/9

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AB - In this note, we prove that a collection of single bend paths on a grid, the so-called B1 representations, have strong Helly number 4. This corrects a false claim from Ref. [Golumbic et al., Networks, 54 (2009), 130-138; and other errata are also corrected.

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KW - intersecting paths on a grid

KW - intersection graphs

KW - strong Helly number

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Single bend paths on a grid have strong helly number 4: Errata atque emendationes ad "edge intersection graphs of single bend paths on a grid"

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

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