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Hamiltonian and pancyclic graphs in the class of self-centered graphs with radius two
Title Hamiltonian and pancyclic graphs in the class of self-centered graphs with radius two Author info Pavel Hrnčiar, Gabriela Monoszová Author Hrnčiar Pavel 1951- (50%) UMBFP10 - Katedra matematiky
Co-authors Monoszová Gabriela 1955- (50%) UMBFP10 - Katedra matematiky
Source document Discussiones Mathematicae Graph Theory. Vol. 83, no. 3 (2018), pp. 661-681. - Zielona Góra : Uniwersytet Zielonogórski, 2018 Keywords self-centered graph with radius 2 Hamiltonian graph pancyclic graph size of graphs Language English Country Poland Annotation The paper deals with Hamiltonian and pancyclic graphs in the class of all self-centered graphs of radius 2. For both of the two considered classes of graphs we have done the following. For a given number n of vertices, we have found an upper bound of the minimum size of such graphs. For n <= 12 we have found the exact values of the minimum size. On the other hand, the exact value of the maximum size has been found for every n. Moreover, we have shown that such a graph (of order n and) of size m exists for every m between the minimum and the maximum size. For n <= 10 we have found all nonisomorphic graphs of the minimum size, and for n = 11 only for Hamiltonian graphs. Public work category ADC No. of Archival Copy 43138 Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ References PERIODIKÁ-Súborný záznam periodika 
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