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Title A note on cycles in graphs with specified radius and diameter Author info Pavel Hrnčiar Author Hrnčiar Pavel 1951- (100%) UMBFP10 - Katedra matematiky
Source document arXiv.org : arXiv:1809.08944 [math.CO]. online, 21.9.2018, pp. [1-2]. - Ithaca : Cornell University, 2018 Keywords matematika - mathematics grafy - charts - graphs given diameters radius cyklické javy - cycles Form. Descr. články - journal articles Language English Country United States of America systematics 51 URL https://arxiv.org/abs/1809.08944v1 Public work category GHG No. of Archival Copy 44739 Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ 
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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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Title Minimal two-valued eccentric sequences Par.title Minimálne dvojhodnotové excentricitové postupnosti 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 International Journal of Pure and Applied Mathematics. Vol. 84, no. 3 (2013), pp. 139-152. - Sofia : Academic Publications, 2013 Keywords cyklické javy - cycles eccentricity eccentric sequences minimal eccentric sequences kružnice - circle excentricita minimálna excentricitová postupnosť Language English Country Bulgaria systematics 51 Public work category ADM No. of Archival Copy 26482 Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ References PERIODIKÁ-Súborný záznam periodika unrecognised
Title On cycles in graphs with specified radius and diameter Author info Pavel Hrnčiar Author Hrnčiar Pavel 1951- (100%) UMBFP10 - Katedra matematiky
Source document Acta Universitatis Matthiae Belii : series Mathematics, No. 20. S. 7-10. - Banská Bystrica : Univerzita Mateja Bela, 2012 / Haviar Miroslav 1965- Keywords matematika - mathematics grafy - charts - graphs radius diameter cyklické javy - cycles Language English Country Slovak Republic systematics 51 Public work category AED No. of Archival Copy 24440 Repercussion category QIAO, Pu - ZHAN, Xingzhi. The maximum girth and minimum circumference of graphs with prescribed radius and diameter. In Discrete mathematics. ISSN 0012-365X, 2018, vol. 341, no. 10, pp. 2827-2830.
Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ article
Title Minimal eccentric sequences with two values Par.title Dvojhodnotové minimálne postupnosti excentricít 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 Č-S Grafy 2010 : sborník abstraktů 45. česko-slovenské konference, Lednice, May 31 - June 4, 2010. S. 27. - Brno : University of Defence, 2010 / Obdržálek Jan Keywords minimálna excentricitová postupnosť minimal eccentric sequences Language English Country Czech Republic systematics 51 Public work category AFG No. of Archival Copy 15420 Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ unrecognised
Title A new family of graceful trees Par.title Nová trieda graciózne ohodnotených stromov Author info Pavel Hrnčiar, Gabriela Monoszová Author Hrnčiar Pavel 1951- (60%) UMBFP10 - Katedra matematiky
Co-authors Monoszová Gabriela 1955- (40%) UMBFP10 - Katedra matematiky
Source document Graphs 2007 Abstracts : Czech-Slovak Graph Theory Conference, Hradec nad Moravicí, June 11.-15. 2007. S. 19. - Ostrava : Technická univerzita, Vysoká škola báňská, 2007 Keywords matematika - mathematics množiny graciózne ohodnotenie grafov - graceful labelling of graphs zovšeobecnenie banánové stromy Language English Country Czech Republic systematics 51 Public work category AFG No. of Archival Copy 6477 Repercussion category JESINTHA, J. Jeba - SETHURAMAN, G. All arbitrarily fixed generalized babana trees are graceful. In Mathematics in computer science. ISSN 1661-8289, 2011, vol. 5, no. 1, pp. 51-62.
ŠERMAN, Z. O. Kratkij obzor metodov konstrokciji gracefulnich grafov. In Vísnik Zaporížkogo nacíonaľnogo uníversitetu. Fíziko-matematiční nauki. ISSN 2413-6549, 2016, no. 1, pp. 284-297.
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Title A new family of graceful trees Subtitle preprint Author info Pavel Hrnčiar, Gabriela Monoszová Author Hrnčiar Pavel 1951- (50%) UMBFP10 - Katedra matematiky
Co-authors Monoszová Gabriela 1955- (50%) UMBFP10 - Katedra matematiky
Issue data Banská Bystrica : Mathematical Institute of Slovak Academy of Sciences , 2007 Issue 1. vyd. Keywords matematika - mathematics vzdelávanie - education matematická analýza - mathematical analysis Language English Country Slovak Republic systematics 51 URL http://www.savbb.sk/mu/ Public work category GHG No. of Archival Copy 38904 Repercussion category HAVIAR, Miroslav - IVAŠKA, Michal. Vertex labellings of simple graphs. Lemgo : Heldermann Verlag, 2015. ISBN 978-388538-234-8.
JEBA JESINTHA, J. - SETHURAMAN, G. All arbitrarily fixed generalized banana trees are graceful. In Mathematics in computer science. ISSN 1661-8270, 2011, vol. 5, no. 1, pp. 51-62.
SUPERDOCK, Matt. New graceful diameter-6 trees by transfers. In ArXiv.org [online] 2015, pp. [1-21] [2017-10-16]. Dostupné na: https://arxiv.org/abs/1402.6570
GALLIAN, Joseph A. A dynamic survey of graph labeling. In Electronic journal of combinatorics. ISSN 1077-8926, 2014, no. DS6.
Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ article
Title Minimal eccentric sequences with least eccentricity four Author info Pavel Hrnčiar, Gabriela Monoszová Author Hrnčiar Pavel 1951- UMBFP10 - Katedra matematiky
Co-authors Monoszová Gabriela 1955- UMBFP10 - Katedra matematiky
Source document Graphs 2005 : 40th Czech and slovak Conference on Graph Theory and Combinatorics. S. [1 s.]. -, 2005 Keywords grafy - charts - graphs eccentric sequences Language English Country Slovak Republic systematics 51 Public work category AFH No. of Archival Copy 3684 Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ article
Title Minimal eccentric sequences with two values Par.title Dvojhodnotové minimálne postupnosti excentricít Author info Pavel Hrnčiar, Gabriela Monoszová Author Hrnčiar Pavel 1951- UMBFP10 - Katedra matematiky
Co-authors Monoszová Gabriela 1955- UMBFP10 - Katedra matematiky
Source document Acta Universitatis Matthiae Belii : Series Mathematics, Number 12. S. 43-65. - Banská Bystrica : Matej Bel University, 2005 / Nedela Roman 1960- Keywords excentricita minimálna excentricitová postupnosť excentricity minimal eccentric sequences Language English Country Slovak Republic systematics 51 Public work category AED Repercussion category DANKELMANN, Peter - ERWIN, David - GODDARD, Wayne - MUKWEMBI, Simon - SWART, Henda C. Eccentric counts, connectivity and chordality. In Information processing letters. ISSN 0020-0190, 2012, vol. 112, no. 24, pp. 944-947.
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.
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Title Eccentric sequences and cycles in graphs 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, Number 11. S. 7-25. - Banská Bystrica : Matej Bel University, 2004 / Nedela Roman 1960- Keywords eccentric sequences cyklické javy - cycles grafy - charts - graphs Language English Country Slovak Republic systematics 51 Public work category AED No. of Archival Copy 1587 Repercussion category KNOR, Martin. Unicyclic radially-maximal graphs on the minimum number of vertices. In Australasian journal of combinatorics. ISSN 1034-4942, October 2009, vol. 45, pp. 97-107.
KNOR, Martin. Minimal non-selfcentric radially-maximal graphs of radii 4 and 5. In Journal of combinatorial mathematics and combinatorial computing. ISSN 0835-3026, May 2010, vol. 73, pp. 237-243.
KNOR, Martin. Minimal non-selfcentric radially-maximal graphs of radius 4. In Discussiones mathematicae graph theory [online]. 2007, roč. 27, č. 3, s. 603-610 [cit. 2012-04-19]. ISSN 2083-5892. Dostupné na: http://www.discuss.wmie.uz.zgora.pl/gt/
KUNTARI, Sri - SUDIBYO, Ngrogo Arif - KUSMAYADI, dan Tri Atmojo. Disgraf eksentrik dari graf buku. In Prosiding - Seminar Nasional Penelitian, Pendidikan dan Penerapan MIPA : 14 Mei 2011. Yogyakarta : Universitas Negeri Yogyakarta, 2011, pp. 223-226.
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 pp. ISBN 978-86-6009-012-8.
KUNTARI, Sri - ATMOJO K., Tri - NUGROHO, A.S. - RINDANG, P. Digraf eksentrik dari graf gear. In Prosiding - Seminar Nasional Matematika dan Pendidikan Matematika 2012 [online]. Yogyakarta : Universitas Negeri Yogyakarta, 2012 [cit. 2012-04-19]. ISBN 978-979-16353-8-7. Dostupné na: http://eprints.uny.ac.id/10140/
MARSHALL, K.L. - RYAN, J. On antimode graphs. In Journal of combinatorial mathematics and combinatorial computing. ISSN 0835-3026, 2008, vol. 65, pp. 51-60.
SUDIBYO, Nugroho Arif - KUSMAYADI, Tri Atmojo. Digraf eksentrik dari graf crown. In Jurnal ilmiah teknologi informasi dan komuniasi [online]. 2015, vol. 9, no. 1, pp. 37-42 [cit. 2017-10-17]. ISSN 2580-1643. Dostupné na: http://journal.stmikdb.ac.id/index.php/dutacom/article/view/16
Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ article