Asymptotics of symmetry in matroids

Rudi Pendavingh; Jorn van der Pol

doi:10.1016/j.jctb.2018.09.001

Asymptotics of symmetry in matroids

Rudi Pendavingh (Corresponding author), Jorn van der Pol (Corresponding author)

Onderzoeksoutput: Bijdrage aan tijdschrift › Tijdschriftartikel › Academic › peer review

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We prove that asymptotically almost all matroids have a trivial automorphism group, or an automorphism group generated by a single transposition. Additionally, we show that asymptotically almost all sparse paving matroids have a trivial automorphism group.

Originele taal-2	Engels
Pagina's (van-tot)	349-365
Aantal pagina's	17
Tijdschrift	Journal of Combinatorial Theory, Series B
Volume	135
DOI's	https://doi.org/10.1016/j.jctb.2018.09.001
Status	Gepubliceerd - 1 mrt. 2019

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10.1016/j.jctb.2018.09.001

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@article{39b19a4474a842acacc5c0bd45aa9346,

title = "Asymptotics of symmetry in matroids",

abstract = "We prove that asymptotically almost all matroids have a trivial automorphism group, or an automorphism group generated by a single transposition. Additionally, we show that asymptotically almost all sparse paving matroids have a trivial automorphism group.",

keywords = "Asymptotic enumeration, Automorphism group, Matroid, Symmetry",

author = "Rudi Pendavingh and \{van der Pol\}, Jorn",

year = "2019",

month = mar,

day = "1",

doi = "10.1016/j.jctb.2018.09.001",

language = "English",

volume = "135",

pages = "349--365",

journal = "Journal of Combinatorial Theory, Series B",

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publisher = "Academic Press Inc.",

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T1 - Asymptotics of symmetry in matroids

AU - Pendavingh, Rudi

AU - van der Pol, Jorn

PY - 2019/3/1

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N2 - We prove that asymptotically almost all matroids have a trivial automorphism group, or an automorphism group generated by a single transposition. Additionally, we show that asymptotically almost all sparse paving matroids have a trivial automorphism group.

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KW - Asymptotic enumeration

KW - Automorphism group

KW - Matroid

KW - Symmetry

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U2 - 10.1016/j.jctb.2018.09.001

DO - 10.1016/j.jctb.2018.09.001

M3 - Article

AN - SCOPUS:85053331583

SN - 0095-8956

VL - 135

SP - 349

EP - 365

JO - Journal of Combinatorial Theory, Series B

JF - Journal of Combinatorial Theory, Series B

ER -

Asymptotics of symmetry in matroids

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