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Ponto (grafeteorio)

Grafeo kun 16 verticoj kaj 6 pontoj (ruĝaj)
Sendirekta koneksa grafeo sen ponto

En grafeteorio, ponto estas eĝo tia, ke forigi ĝin multigas koneksajn komponantojn.[1] Ekvivalente, eĝo estas ponto se kaj nur se ĝi ne apartenas al iu ajn ciklo. Grafeo estas senponta se ĝi enhavas neniun ponton.

Senponta grafeo

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Ekvivalenta kondiĉo de Senponta grafeo inkluzivas ke ĉiu koneksa komponanto havas malfermitan orelo-malkomponadon,[2] ke ĉiu koneksa komponanto estas koneksa per 2 eĝoj, aŭ (laŭ teoremo de Robbins) ke ĉiu koneksa komponanto havas fortan orienton.

Referencoj

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  1. Bollobás, Béla (1998), Modern Graph Theory, Graduate Texts in Mathematics, 184, New York: Springer-Verlag, p. 6, doi:10.1007/978-1-4612-0619-4, (ISBN 0-387-98488-7), https://books.google.com/books?id=SbZKSZ-1qrwC&pg=PA6 .
  2. Robbins, H. E. (1939), "A theorem on graphs, with an application to a problem of traffic control", The American Mathematical Monthly 46: 281–283, doi:10.2307/2303897 .
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Ponto (grafeteorio)
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