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Minimal eccentric sequences with least eccentricity three

  1. TitleMinimal eccentric sequences with least eccentricity three
    Par.titleMinimálne excentricitové postupnosti s najmenšou hodnotou tri
    Author infoAlfonz Haviar, Pavel Hrnčiar, Gabriela Monoszová
    Author Haviar Alfonz UMBFP10 - Katedra matematiky
    Co-authors Hrnčiar Pavel 1951- UMBFP10 - Katedra matematiky
    Monoszová Gabriela 1955- UMBFP10 - Katedra matematiky
    Source document Acta Universitatis Matthiae Belii : series mathematics : natural sciences series, Roč. 5. S. 27-50. - Banská Bystrica : Univerzita Mateja Bela, 1997 / Haviar Alfonz ; Monoszová Gabriela 1955-
    Keywords excentricita   minimálna excentricitová postupnosť   eccentricity   minimal eccentric sequences  
    LanguageEnglish
    CountrySlovak Republic
    systematics 51
    AnnotationAn eccentric sequence is called if it has no proper eccentric subsequence with the same number of distinct eccentricities. All minimal eccentric sequences with least value 2 were found by R. Nandakumar (see [1]). In the paper it is shown that there are exactly 13 minimal eccentric sequences with least eccentricity three
    Public work category AED
    No. of Archival Copy22160
    Repercussion category BUCKLEY, F. - HARARY, F. Unsolved problems on distance in graphs. In Electronic notes in discrete mathematics. ISSN 1571-0653, July 2002, vol. 11, pp. 89-97.
    FERERO, Daniela - HARARY, Frank. On eccentricity sequences of connected graphs. In AKCE : international journal of graphs and combinatorics. ISSN 0972-8600, 2009, vol. 6, no. 3, pp. 401-408.
    BUCKLEY, Fred. Eccentric sequences, eccentric sets, and graph centrality. In Graph theory notes of New York. ISSN 1040-8118, 2001, vol. XL, no. 4, pp. 18-22.
    DUNKELMAN, P. - MUKWEMBI, S. The distance concept and distance in graphs. In Distance in molecular graphs - theory. Kragujevac : University of Kragujevac and Faculty of science Kragujevac, 2012. 348 p. ISBN 978-86-6009-012-8.
    DANKELMANN, P. - ERWIN, D.J. - GODDARD, W. - MUKWEMBI, S. - SWART, H.C. A characterisation of eccentric sequences of maximal outerplanar graphs. In Australasian journal of combinatorics. ISSN 1034-4942, 2014, vol. 58, no. 3, pp. 376-391.
    DANKELMANN, Peter - ERWIN, David - SWART, Henda. On digraphs with prescribed eccentricities. In Journal of combinatorial mathematics and combinatorial computing. ISSN 0835-3026, 2018, vol. 104, pp. 143-160.
    Catal.org.BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici
    Databasexpca - PUBLIKAČNÁ ČINNOSŤ
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Number of the records: 1  

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