Barzilai-Borwein Method in Graph Drawing Algorithm Based on Kamada-Kawai Algorithm
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68145535%3A_____%2F16%3A00472759" target="_blank" >RIV/68145535:_____/16:00472759 - isvavai.cz</a>
Alternative codes found
RIV/61989100:27240/16:86099903 RIV/61989100:27740/16:86099903
Result on the web
<a href="http://aip.scitation.org/doi/pdf/10.1063/1.4952138" target="_blank" >http://aip.scitation.org/doi/pdf/10.1063/1.4952138</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1063/1.4952138" target="_blank" >10.1063/1.4952138</a>
Alternative languages
Result language
angličtina
Original language name
Barzilai-Borwein Method in Graph Drawing Algorithm Based on Kamada-Kawai Algorithm
Original language description
Extension of Kamada-Kawai algorithm, which was designed for calculating layouts of simple undirected graphs, is presented in this paper. Graphs drawn by Kamada-Kawai algorithm exhibit symmetries, tend to produce aesthetically pleasing and crossing-free layouts for planar graphs. Minimization of Kamada-Kawai algorithm is based on Newton-Raphson method, which needs Hessian matrix of second derivatives of minimized node. Disadvantage of Kamada-Kawai embedder algorithm is computational requirements. This is caused by searching of minimal potential energy of the whole system, which is minimized node by node. The node with highest energy is minimized against all nodes till the local equilibrium state is reached. In this paper with Barzilai-Borwein (BB) minimization algorithm, which needs only gradient for minimum searching, instead of Newton-Raphson method, is worked. It significantly improves the computational time and requirements.
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
<a href="/en/project/ED1.1.00%2F02.0070" target="_blank" >ED1.1.00/02.0070: IT4Innovations Centre of Excellence</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
International Conference of Numerical Analysis and Applied Mathematics 2015 (ICNAAM 2015)
ISBN
978-0-7354-1392-4
ISSN
0094-243X
e-ISSN
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Number of pages
4
Pages from-to
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Publisher name
AIP Publishing
Place of publication
New York
Event location
Rhodos
Event date
Sep 23, 2015
Type of event by nationality
EUR - Evropská akce
UT code for WoS article
000380803300364