Finite rigid subgraphs of pants graphs
Let S g , n be an orientable surface of genus g with n punctures. We identify a finite rigid subgraph X g , n of the pants graph P ( S g , n ) , that is, a subgraph with the property that any simplicial embedding of X g , n into any pants graph P ( S g ′ , n ′ ) is induced by an embedding S g , n →...
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| Veröffentlicht in: | Geometriae dedicata 2021-06, Vol.212 (1), p.205-223 |
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| container_title | Geometriae dedicata |
| container_volume | 212 |
| creator | Hernández Hernández, Jesús Leininger, Christopher J. Maungchang, Rasimate |
| description | Let
S
g
,
n
be an orientable surface of genus
g
with
n
punctures. We identify a finite rigid subgraph
X
g
,
n
of the pants graph
P
(
S
g
,
n
)
, that is, a subgraph with the property that any simplicial embedding of
X
g
,
n
into any pants graph
P
(
S
g
′
,
n
′
)
is induced by an embedding
S
g
,
n
→
S
g
′
,
n
′
. This extends results of the third author for the case of genus zero surfaces. |
| doi_str_mv | 10.1007/s10711-020-00555-1 |
| format | Article |
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S
g
,
n
be an orientable surface of genus
g
with
n
punctures. We identify a finite rigid subgraph
X
g
,
n
of the pants graph
P
(
S
g
,
n
)
, that is, a subgraph with the property that any simplicial embedding of
X
g
,
n
into any pants graph
P
(
S
g
′
,
n
′
)
is induced by an embedding
S
g
,
n
→
S
g
′
,
n
′
. This extends results of the third author for the case of genus zero surfaces.</description><identifier>ISSN: 0046-5755</identifier><identifier>EISSN: 1572-9168</identifier><identifier>DOI: 10.1007/s10711-020-00555-1</identifier><language>eng</language><publisher>Dordrecht: Springer Netherlands</publisher><subject>Algebraic Geometry ; Convex and Discrete Geometry ; Differential Geometry ; Embedding ; Graph theory ; Hyperbolic Geometry ; Mathematics ; Mathematics and Statistics ; Original Paper ; Projective Geometry ; Topology</subject><ispartof>Geometriae dedicata, 2021-06, Vol.212 (1), p.205-223</ispartof><rights>Springer Nature B.V. 2020</rights><rights>Springer Nature B.V. 2020.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c319t-dcddb913c4513bef23d1ec4e6043884d94b5c2f68a049b7187b38617c730577e3</citedby><cites>FETCH-LOGICAL-c319t-dcddb913c4513bef23d1ec4e6043884d94b5c2f68a049b7187b38617c730577e3</cites><orcidid>0000-0002-8210-0827</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s10711-020-00555-1$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s10711-020-00555-1$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,780,784,27924,27925,41488,42557,51319</link.rule.ids></links><search><creatorcontrib>Hernández Hernández, Jesús</creatorcontrib><creatorcontrib>Leininger, Christopher J.</creatorcontrib><creatorcontrib>Maungchang, Rasimate</creatorcontrib><title>Finite rigid subgraphs of pants graphs</title><title>Geometriae dedicata</title><addtitle>Geom Dedicata</addtitle><description>Let
S
g
,
n
be an orientable surface of genus
g
with
n
punctures. We identify a finite rigid subgraph
X
g
,
n
of the pants graph
P
(
S
g
,
n
)
, that is, a subgraph with the property that any simplicial embedding of
X
g
,
n
into any pants graph
P
(
S
g
′
,
n
′
)
is induced by an embedding
S
g
,
n
→
S
g
′
,
n
′
. This extends results of the third author for the case of genus zero surfaces.</description><subject>Algebraic Geometry</subject><subject>Convex and Discrete Geometry</subject><subject>Differential Geometry</subject><subject>Embedding</subject><subject>Graph theory</subject><subject>Hyperbolic Geometry</subject><subject>Mathematics</subject><subject>Mathematics and Statistics</subject><subject>Original Paper</subject><subject>Projective Geometry</subject><subject>Topology</subject><issn>0046-5755</issn><issn>1572-9168</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2021</creationdate><recordtype>article</recordtype><recordid>eNp9kE1LxDAURYMoWEf_gKuC4C76Xj76kqUMzigMuNF1aNO0dtC2Jp2F_95qBXeuHhfuuQ8OY5cINwhAtwmBEDkI4ABaa45HLENNglsszDHLAFTBNWl9ys5S2gOAJRIZu950fTeFPHZtV-fpULWxHF9TPjT5WPZTypd8zk6a8i2Fi9-7Yi-b--f1A989bR_XdzvuJdqJ176uK4vSK42yCo2QNQavQgFKGqNqqyrtRVOYEpStCA1V0hRIniRooiBX7GrZHePwcQhpcvvhEPv5pRMarSFhCOaWWFo-DinF0Lgxdu9l_HQI7tuHW3y42Yf78eFwhuQCpbnctyH-Tf9DfQHcwGCu</recordid><startdate>20210601</startdate><enddate>20210601</enddate><creator>Hernández Hernández, Jesús</creator><creator>Leininger, Christopher J.</creator><creator>Maungchang, Rasimate</creator><general>Springer Netherlands</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><orcidid>https://orcid.org/0000-0002-8210-0827</orcidid></search><sort><creationdate>20210601</creationdate><title>Finite rigid subgraphs of pants graphs</title><author>Hernández Hernández, Jesús ; Leininger, Christopher J. ; Maungchang, Rasimate</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c319t-dcddb913c4513bef23d1ec4e6043884d94b5c2f68a049b7187b38617c730577e3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2021</creationdate><topic>Algebraic Geometry</topic><topic>Convex and Discrete Geometry</topic><topic>Differential Geometry</topic><topic>Embedding</topic><topic>Graph theory</topic><topic>Hyperbolic Geometry</topic><topic>Mathematics</topic><topic>Mathematics and Statistics</topic><topic>Original Paper</topic><topic>Projective Geometry</topic><topic>Topology</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Hernández Hernández, Jesús</creatorcontrib><creatorcontrib>Leininger, Christopher J.</creatorcontrib><creatorcontrib>Maungchang, Rasimate</creatorcontrib><collection>CrossRef</collection><jtitle>Geometriae dedicata</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Hernández Hernández, Jesús</au><au>Leininger, Christopher J.</au><au>Maungchang, Rasimate</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Finite rigid subgraphs of pants graphs</atitle><jtitle>Geometriae dedicata</jtitle><stitle>Geom Dedicata</stitle><date>2021-06-01</date><risdate>2021</risdate><volume>212</volume><issue>1</issue><spage>205</spage><epage>223</epage><pages>205-223</pages><issn>0046-5755</issn><eissn>1572-9168</eissn><abstract>Let
S
g
,
n
be an orientable surface of genus
g
with
n
punctures. We identify a finite rigid subgraph
X
g
,
n
of the pants graph
P
(
S
g
,
n
)
, that is, a subgraph with the property that any simplicial embedding of
X
g
,
n
into any pants graph
P
(
S
g
′
,
n
′
)
is induced by an embedding
S
g
,
n
→
S
g
′
,
n
′
. This extends results of the third author for the case of genus zero surfaces.</abstract><cop>Dordrecht</cop><pub>Springer Netherlands</pub><doi>10.1007/s10711-020-00555-1</doi><tpages>19</tpages><orcidid>https://orcid.org/0000-0002-8210-0827</orcidid></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 0046-5755 |
| ispartof | Geometriae dedicata, 2021-06, Vol.212 (1), p.205-223 |
| issn | 0046-5755 1572-9168 |
| language | eng |
| recordid | cdi_proquest_journals_2519872870 |
| source | SpringerLink Journals - AutoHoldings |
| subjects | Algebraic Geometry Convex and Discrete Geometry Differential Geometry Embedding Graph theory Hyperbolic Geometry Mathematics Mathematics and Statistics Original Paper Projective Geometry Topology |
| title | Finite rigid subgraphs of pants graphs |
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