Bifurcations of Binary Types of Steiner Minimal Networks in the Plane

This paper is a continuation of the paper “Bifurcations of Steiner tree topologies in the plane,” where topologies of Steiner networks of a fixed binary type are considered. Here bifurcation diagrams of binary types of Steiner minimal networks for four boundary points are constructed and some proper...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2021-12, Vol.259 (5), p.730-747
1. Verfasser: Stepanova, E. I.
Format: Artikel
Sprache:eng
Schlagworte:
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page 747
container_issue 5
container_start_page 730
container_title Journal of mathematical sciences (New York, N.Y.)
container_volume 259
creator Stepanova, E. I.
description This paper is a continuation of the paper “Bifurcations of Steiner tree topologies in the plane,” where topologies of Steiner networks of a fixed binary type are considered. Here bifurcation diagrams of binary types of Steiner minimal networks for four boundary points are constructed and some properties of such diagrams for any number of points are discussed.
doi_str_mv 10.1007/s10958-021-05658-y
format Article
fullrecord <record><control><sourceid>gale_proqu</sourceid><recordid>TN_cdi_proquest_journals_2601565448</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><galeid>A718219857</galeid><sourcerecordid>A718219857</sourcerecordid><originalsourceid>FETCH-LOGICAL-c368y-91be4958fe9ccd560b5055ba4d4c247e0b0dfe5cdfa26d38a4580059469cb7fc3</originalsourceid><addsrcrecordid>eNp9kUtPxCAUhYnRRB39A66auHLREVpo6VKNj0l8xRnXhNJLRTt0hDbafy9aEzPJxLDgQr5z4Z6D0BHBU4JxfuoJLhiPcUJizLJQDVtoj7A8jXlesO1Q4zyJ0zSnu2jf-1ccRBlP99DludG9U7IzrfVRq6NzY6UbosWwgp_zvANjwUV3xpqlbKJ76D5a9-YjY6PuBaLHRlo4QDtaNh4Of_cJer66XFzcxLcP17OLs9tYpRkf4oKUQMM_NRRKVSzDJcOMlZJWVCU0B1ziSgNTlZZJVqVcUsYxZgXNClXmWqUTdDz2Xbn2vQffide2dzY8KZIMkzA5pfyPqmUDwljddk6qpfFKnOWEJ6TgwZkJijdQNYRhZdNa0CZcr_HTDXxYFSyN2ig4WRMEpoPPrpa992I2f1pnk5FVrvXegRYrF-x2gyBYfCcsxoRFSFj8JCyGIEpHkQ-wrcH9ufGP6gutVKZs</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2601565448</pqid></control><display><type>article</type><title>Bifurcations of Binary Types of Steiner Minimal Networks in the Plane</title><source>SpringerLink Journals - AutoHoldings</source><creator>Stepanova, E. I.</creator><creatorcontrib>Stepanova, E. I.</creatorcontrib><description>This paper is a continuation of the paper “Bifurcations of Steiner tree topologies in the plane,” where topologies of Steiner networks of a fixed binary type are considered. Here bifurcation diagrams of binary types of Steiner minimal networks for four boundary points are constructed and some properties of such diagrams for any number of points are discussed.</description><identifier>ISSN: 1072-3374</identifier><identifier>EISSN: 1573-8795</identifier><identifier>DOI: 10.1007/s10958-021-05658-y</identifier><language>eng</language><publisher>New York: Springer US</publisher><subject>Bifurcations ; Mathematics ; Mathematics and Statistics ; Networks ; Topology</subject><ispartof>Journal of mathematical sciences (New York, N.Y.), 2021-12, Vol.259 (5), p.730-747</ispartof><rights>Springer Science+Business Media, LLC, part of Springer Nature 2021</rights><rights>COPYRIGHT 2021 Springer</rights><rights>Springer Science+Business Media, LLC, part of Springer Nature 2021.</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c368y-91be4958fe9ccd560b5055ba4d4c247e0b0dfe5cdfa26d38a4580059469cb7fc3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s10958-021-05658-y$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s10958-021-05658-y$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,780,784,27922,27923,41486,42555,51317</link.rule.ids></links><search><creatorcontrib>Stepanova, E. I.</creatorcontrib><title>Bifurcations of Binary Types of Steiner Minimal Networks in the Plane</title><title>Journal of mathematical sciences (New York, N.Y.)</title><addtitle>J Math Sci</addtitle><description>This paper is a continuation of the paper “Bifurcations of Steiner tree topologies in the plane,” where topologies of Steiner networks of a fixed binary type are considered. Here bifurcation diagrams of binary types of Steiner minimal networks for four boundary points are constructed and some properties of such diagrams for any number of points are discussed.</description><subject>Bifurcations</subject><subject>Mathematics</subject><subject>Mathematics and Statistics</subject><subject>Networks</subject><subject>Topology</subject><issn>1072-3374</issn><issn>1573-8795</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2021</creationdate><recordtype>article</recordtype><recordid>eNp9kUtPxCAUhYnRRB39A66auHLREVpo6VKNj0l8xRnXhNJLRTt0hDbafy9aEzPJxLDgQr5z4Z6D0BHBU4JxfuoJLhiPcUJizLJQDVtoj7A8jXlesO1Q4zyJ0zSnu2jf-1ccRBlP99DludG9U7IzrfVRq6NzY6UbosWwgp_zvANjwUV3xpqlbKJ76D5a9-YjY6PuBaLHRlo4QDtaNh4Of_cJer66XFzcxLcP17OLs9tYpRkf4oKUQMM_NRRKVSzDJcOMlZJWVCU0B1ziSgNTlZZJVqVcUsYxZgXNClXmWqUTdDz2Xbn2vQffide2dzY8KZIMkzA5pfyPqmUDwljddk6qpfFKnOWEJ6TgwZkJijdQNYRhZdNa0CZcr_HTDXxYFSyN2ig4WRMEpoPPrpa992I2f1pnk5FVrvXegRYrF-x2gyBYfCcsxoRFSFj8JCyGIEpHkQ-wrcH9ufGP6gutVKZs</recordid><startdate>20211204</startdate><enddate>20211204</enddate><creator>Stepanova, E. I.</creator><general>Springer US</general><general>Springer</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><scope>ISR</scope></search><sort><creationdate>20211204</creationdate><title>Bifurcations of Binary Types of Steiner Minimal Networks in the Plane</title><author>Stepanova, E. I.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c368y-91be4958fe9ccd560b5055ba4d4c247e0b0dfe5cdfa26d38a4580059469cb7fc3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2021</creationdate><topic>Bifurcations</topic><topic>Mathematics</topic><topic>Mathematics and Statistics</topic><topic>Networks</topic><topic>Topology</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Stepanova, E. I.</creatorcontrib><collection>CrossRef</collection><collection>Gale In Context: Science</collection><jtitle>Journal of mathematical sciences (New York, N.Y.)</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Stepanova, E. I.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Bifurcations of Binary Types of Steiner Minimal Networks in the Plane</atitle><jtitle>Journal of mathematical sciences (New York, N.Y.)</jtitle><stitle>J Math Sci</stitle><date>2021-12-04</date><risdate>2021</risdate><volume>259</volume><issue>5</issue><spage>730</spage><epage>747</epage><pages>730-747</pages><issn>1072-3374</issn><eissn>1573-8795</eissn><abstract>This paper is a continuation of the paper “Bifurcations of Steiner tree topologies in the plane,” where topologies of Steiner networks of a fixed binary type are considered. Here bifurcation diagrams of binary types of Steiner minimal networks for four boundary points are constructed and some properties of such diagrams for any number of points are discussed.</abstract><cop>New York</cop><pub>Springer US</pub><doi>10.1007/s10958-021-05658-y</doi><tpages>18</tpages><oa>free_for_read</oa></addata></record>
fulltext fulltext
identifier ISSN: 1072-3374
ispartof Journal of mathematical sciences (New York, N.Y.), 2021-12, Vol.259 (5), p.730-747
issn 1072-3374
1573-8795
language eng
recordid cdi_proquest_journals_2601565448
source SpringerLink Journals - AutoHoldings
subjects Bifurcations
Mathematics
Mathematics and Statistics
Networks
Topology
title Bifurcations of Binary Types of Steiner Minimal Networks in the Plane
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-09T20%3A16%3A14IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-gale_proqu&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Bifurcations%20of%20Binary%20Types%20of%20Steiner%20Minimal%20Networks%20in%20the%20Plane&rft.jtitle=Journal%20of%20mathematical%20sciences%20(New%20York,%20N.Y.)&rft.au=Stepanova,%20E.%20I.&rft.date=2021-12-04&rft.volume=259&rft.issue=5&rft.spage=730&rft.epage=747&rft.pages=730-747&rft.issn=1072-3374&rft.eissn=1573-8795&rft_id=info:doi/10.1007/s10958-021-05658-y&rft_dat=%3Cgale_proqu%3EA718219857%3C/gale_proqu%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2601565448&rft_id=info:pmid/&rft_galeid=A718219857&rfr_iscdi=true