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Minimal eccentric sequences with least eccentricity three
Title Minimal eccentric sequences with least eccentricity three Par.title Minimálne excentricitové postupnosti s najmenšou hodnotou tri Author info Alfonz 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 Language English Country Slovak Republic systematics 51 Annotation An 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 Copy 22160 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 Database xpca - PUBLIKAČNÁ ČINNOSŤ unrecognised
Number of the records: 1