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Pregled bibliografske jedinice broj: 559412

On the extremal values of ratios of number of paths


Vukičević, Damir; Pisanski, Tomaž
On the extremal values of ratios of number of paths // Ars mathematica contemporanea, 3 (2010), 2; 215-235 (međunarodna recenzija, članak, znanstveni)


Naslov
On the extremal values of ratios of number of paths

Autori
Vukičević, Damir ; Pisanski, Tomaž

Izvornik
Ars mathematica contemporanea (1855-3966) 3 (2010), 2; 215-235

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

Ključne riječi
Number of paths; extremal graph theory

Sažetak
In this paper, we analyze the ratios of the numbers of paths p_i(G) and p_j(G) of different length in graph G. Namely, we are interested in the extremal values of these ratios for acyclic and cyclic graphs with given maximal degree. The values of infinum and supremum for graphs with given maximal degree are obtained. Also, the infinum of these ratios for trees with given maximal degree are obtained. Suprema for trees of given maximal degree are given when ratios of paths of length 1 and 2 are observed, and when ratios of paths of lengths 1 and 3 are observed. As the main result, a linear algorithm (in terms of maximal degree) for finding suprema of the ratios of the numbers of paths of length 2 and 3 for trees. with given maximal degree is presented.

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, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Split

Autor s matičnim brojem:
Damir Vukičević, (256631)

Časopis indeksira:


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