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Table of Contents
Načrt
Dilworth's theorem
Transitivity reduction / skeleton
Acyclic
Načrt
Aciklična omrežja
Podatki
zbirka
OR
relacije
sklicevanja, rodovniki
omrežja WoS na temo “acyclic network|graph, order relation, …?”
Pregled, teorija
Pregled (izrek o skrčitvi)
Kateri izreki iz urejenosti veljajo tudi za aciklična omrežja
ovojnica (zaprtje), Hasse (skelet)
dekompozicije (razčlenitve)
Wille, novosadčana
Indeksi in uteži
Pregled
Razteg na vozliščne indekse (main path, CPM, tajvan)
verjetnostni tok
analiza poti
Porečja
http://www.mapequation.org/assets/publications/mapequationtutorial.pdf
Druge teme
analiza “boundary problem” v omrežjih sklicevanj; strategije: stopnje, staranje
analiza razvija skupine (glavna pot, otok): ključne besede, časopisi, avtorji
Dilworth's theorem
wikipedia:
Dilworth's theorem
Theorem of the Day:
Dilworth's theorem
Wim Pijls, Rob Potharst: Dilworth's theorem revisited, an algorithmic proof
report EI2011-13
;
Hindawi
L. Haskins, S. Gudder:
Height on posets and graphs.
Discrete Mathematics, Volume 2, Issue 4, July 1972, Pages 357–382
Anne Kaldewaij:
Some algorithms based on the dual of Dilworth's theorem.
Science of Computer Programming, Volume 9, Issue 1, August 1987, Pages 85–89
wikipedia:
Mirsky's theorem
Transitivity reduction / skeleton
wikipedia
Aho, A.V., Garey, M.R., Ullman, J.D.:
The transitive reduction of a directed graph.
SIAM Journal on Computing 1(1972)2: 131–137
Goralčíková, A., Koubek, V.:
A reduct-and-closure algorithm for graphs.
Mathematical Foundations of Computer Science 1979, Lecture Notes in Computer Science Volume 74, 1979, pp 301-307
Klaus Simon:
An improved algorithm for transitive closure on acyclic digraphs.
Automata, Languages and Programming. Lecture Notes in Computer Science Volume, 226, 1986, pp 376-386
Habib, M., Morvan, M., Rampon, J.-X.:
On the calculation of transitive reduction—closure of orders.
Discrete Mathematics, Volume 111, Issues 1–3, 22 February 1993, Pages 289–303
Acyclic
Hummon, N.P., Doreian, P.:
Connectivity in a citation network:The development of DNA.
Social Networks 11 (1989), 39–63
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