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Pregled bibliografske jedinice broj: 175248

Diagonally convex directed polyominoes and even trees: a bijection and related issues


Deutsch, E.; Feretić, Svjetlan; Noy M.
Diagonally convex directed polyominoes and even trees: a bijection and related issues // Discrete Mathematics, 256 (2002), 645-654 (međunarodna recenzija, članak, znanstveni)


CROSBI ID: 175248 Za ispravke kontaktirajte CROSBI podršku putem web obrasca

Naslov
Diagonally convex directed polyominoes and even trees: a bijection and related issues

Autori
Deutsch, E. ; Feretić, Svjetlan ; Noy M.

Izvornik
Discrete Mathematics (0012-365X) 256 (2002); 645-654

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

Ključne riječi
ternary trees; non-crossing trees; diagonally convex directed polyominoes; even trees

Sažetak
We present a simple bijection between diagonally convex directed (DCD) polyominoes with n diagonals and plane trees with 2n edges in which every vertex has even degree (even trees), which specializes to a bijection between parallelogram polyominoes and full binary trees. Next we consider a natural definition of symmetry for DCD-polyominoes, even trees, ternary trees, and non-crossing trees, and show that the number of symmetric objects of a given size is the same in all four cases.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekti:
0037117

Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Građevinski fakultet, Rijeka

Profili:

Avatar Url Svjetlan Feretić (autor)


Citiraj ovu publikaciju:

Deutsch, E.; Feretić, Svjetlan; Noy M.
Diagonally convex directed polyominoes and even trees: a bijection and related issues // Discrete Mathematics, 256 (2002), 645-654 (međunarodna recenzija, članak, znanstveni)
Deutsch, E., Feretić, S. & Noy M. (2002) Diagonally convex directed polyominoes and even trees: a bijection and related issues. Discrete Mathematics, 256, 645-654.
@article{article, author = {Deutsch, E. and Fereti\'{c}, Svjetlan}, year = {2002}, pages = {645-654}, keywords = {ternary trees, non-crossing trees, diagonally convex directed polyominoes, even trees}, journal = {Discrete Mathematics}, volume = {256}, issn = {0012-365X}, title = {Diagonally convex directed polyominoes and even trees: a bijection and related issues}, keyword = {ternary trees, non-crossing trees, diagonally convex directed polyominoes, even trees} }
@article{article, author = {Deutsch, E. and Fereti\'{c}, Svjetlan}, year = {2002}, pages = {645-654}, keywords = {ternary trees, non-crossing trees, diagonally convex directed polyominoes, even trees}, journal = {Discrete Mathematics}, volume = {256}, issn = {0012-365X}, title = {Diagonally convex directed polyominoes and even trees: a bijection and related issues}, keyword = {ternary trees, non-crossing trees, diagonally convex directed polyominoes, even trees} }

Časopis indeksira:


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





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