Napredna pretraga

Pregled bibliografske jedinice broj: 559465

Wiener number of directed graphs and its relation to the oriented network design problem


Pesek, Igor; Rotovnik, Maja; Vukičević, Damir; Žerovnik, Janez
Wiener number of directed graphs and its relation to the oriented network design problem // MATCH : communications in mathematical and in computer chemistry, 64 (2010), 3; 727-742 (međunarodna recenzija, članak, znanstveni)


Naslov
Wiener number of directed graphs and its relation to the oriented network design problem

Autori
Pesek, Igor ; Rotovnik, Maja ; Vukičević, Damir ; Žerovnik, Janez

Izvornik
MATCH : communications in mathematical and in computer chemistry (0340-6253) 64 (2010), 3; 727-742

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

Ključne riječi
Directed graph; Wiener number; network design

Sažetak
The modified Wiener number on trees has been defined recently as a sum of modified edge contributions, which are simply the number of shortest paths traversing the edge to the power of alfa. We study digraphs with minimal value for one possible modification of the Wiener number for directed graphs. For this generalization. For digraphs with unique shortest paths we provide minimal digraphs for alfa <= 0 and alfa >= 1, and give some partial results for alfa element (0, 1).

Izvorni jezik
Engleski

Znanstvena područja
Matematika, Kemija



POVEZANOST RADA


Projekt / tema
037-0000000-2779 - Diskretna matematika i primjene (Dragutin Svrtan, )
177-0000000-0884 - Diskretni matematički modeli u kemiji (Damir Vukičević, )

Ustanove
Prirodoslovno-matematički fakultet, Split

Autor s matičnim brojem:
Damir Vukičević, (256631)

Časopis indeksira:


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