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Pregled bibliografske jedinice broj: 902725

Algebraic properties of the canonical incidence matrix of a biplane


Martinjak, Ivica
Algebraic properties of the canonical incidence matrix of a biplane // Discrete mathematics, 340 (2017), 12; 2807-2812 doi:10.1016/j.disc.2017.08.010 (međunarodna recenzija, članak, znanstveni)


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Naslov
Algebraic properties of the canonical incidence matrix of a biplane

Autori
Martinjak, Ivica

Izvornik
Discrete mathematics (0012-365X) 340 (2017), 12; 2807-2812

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Incidence structure ; Finite geometry ; Biplane ; Finite projective plane ; Automorphism group

Sažetak
Let B be a biplane of order k−2 represented by a canonical incidence matrix M. We prove that for the principal submatrix of order k−2 starting at the (k+1)st row and column of M there are at most k−2 values up to isomorphism. This result provides almost trivial classification of biplanes up to order 7.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Ustanove:
Prirodoslovno-matematički fakultet, Zagreb

Profili:

Avatar Url Ivica Martinjak (autor)

Poveznice na cjeloviti tekst rada:

doi www.sciencedirect.com doi.org

Citiraj ovu publikaciju:

Martinjak, Ivica
Algebraic properties of the canonical incidence matrix of a biplane // Discrete mathematics, 340 (2017), 12; 2807-2812 doi:10.1016/j.disc.2017.08.010 (međunarodna recenzija, članak, znanstveni)
Martinjak, I. (2017) Algebraic properties of the canonical incidence matrix of a biplane. Discrete mathematics, 340 (12), 2807-2812 doi:10.1016/j.disc.2017.08.010.
@article{article, author = {Martinjak, Ivica}, year = {2017}, pages = {2807-2812}, DOI = {10.1016/j.disc.2017.08.010}, keywords = {Incidence structure, Finite geometry, Biplane, Finite projective plane, Automorphism group}, journal = {Discrete mathematics}, doi = {10.1016/j.disc.2017.08.010}, volume = {340}, number = {12}, issn = {0012-365X}, title = {Algebraic properties of the canonical incidence matrix of a biplane}, keyword = {Incidence structure, Finite geometry, Biplane, Finite projective plane, Automorphism group} }
@article{article, author = {Martinjak, Ivica}, year = {2017}, pages = {2807-2812}, DOI = {10.1016/j.disc.2017.08.010}, keywords = {Incidence structure, Finite geometry, Biplane, Finite projective plane, Automorphism group}, journal = {Discrete mathematics}, doi = {10.1016/j.disc.2017.08.010}, volume = {340}, number = {12}, issn = {0012-365X}, title = {Algebraic properties of the canonical incidence matrix of a biplane}, keyword = {Incidence structure, Finite geometry, Biplane, Finite projective plane, Automorphism group} }

Časopis indeksira:


  • Web of Science Core Collection (WoSCC)
    • Science Citation Index Expanded (SCI-EXP)
    • SCI-EXP, SSCI i/ili A&HCI
  • Scopus


Citati:





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