On the Edge-Length Ratio of 2-Trees

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F20%3A10436969" target="_blank" >RIV/00216208:11320/20:10436969 - isvavai.cz</a>

Alternative codes found

RIV/68407700:21240/21:00347403

Result on the web

<a href="https://doi.org/10.1007/978-3-030-68766-3_7" target="_blank" >https://doi.org/10.1007/978-3-030-68766-3_7</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/978-3-030-68766-3_7" target="_blank" >10.1007/978-3-030-68766-3_7</a>

Result language

angličtina

Original language name

On the Edge-Length Ratio of 2-Trees

Original language description

We study planar straight-line drawings of graphs that minimize the ratio between the length of the longest and the shortest edge. We answer a question of Lazard et al. [Theor. Comput. Sci. 770 (2019), 88-94] and, for any given constant r, we provide a 2-tree which does not admit a planar straight-line drawing with a ratio bounded by r. When the ratio is restricted to adjacent edges only, we prove that any 2-tree admits a planar straight-line drawing whose edge-length ratio is at most 4 + ε for any arbitrarily small ε&gt; 0, hence the upper bound on the local edge-length ratio of partial 2-trees is 4. (C) 2020, Springer Nature Switzerland AG.

Czech name

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Czech description

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Type

D - Article in proceedings

CEP classification

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OECD FORD branch

10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

Project

Result was created during the realization of more than one project. More information in the Projects tab.

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year

2020

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection

Graph Drawing and Network Visualization

ISBN

978-3-030-68765-6

ISSN

0302-9743

e-ISSN

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Number of pages

14

Pages from-to

85-98

Publisher name

Springer Science and Business Media Deutschland GmbH

Place of publication

Cham

Event location

Vancouver

Event date

Sep 16, 2020

Type of event by nationality

WRD - Celosvětová akce

UT code for WoS article

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