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Title Vrcholové ohodnotenia jednoduchých grafov Subtitle diplomová práca Author info Katarína Kotuľová; školiteľ: Miroslav Haviar Author Kotuľová Katarína
Another authors Haviar Miroslav 1965- (Školiteľ (konzultant))
Corporation Univerzita Mateja Bela . Fakulta prírodných vied . Katedra matematiky , Banská Bystrica, Slovensko Issue data Banská Bystrica , 2023. - 50 s. Keywords grafy - charts - graphs graciózne ohodnotenie grafov - graceful labelling of graphs grafové šachovnice - graph chessboards Form. Descr. diplomové práce - master’s theses Language English Country Slovak Republic systematics 517.18(084.21) Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xk - Kvalifikačné práce Copy count 1, currently available 0 
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Title A survey on chessboard representations of classes of graceful graphs Author info Miroslav Haviar, Michal Ivaška Author Haviar Miroslav 1965- (50%) UMBFP10 - Katedra matematiky
Co-authors Ivaška Michal 1987- (50%)
Source document Acta Universitatis Matthiae Belii : series Mathematics, Vol. 29. Pp. 1-38. - Banská Bystrica : Vydavateľstvo Univerzity Mateja Bela - Belianum, 2021 Keywords grafy - charts - graphs graciózne ohodnotenie grafov - graceful labelling of graphs postupnosť Form. Descr. články - journal articles Language English Country Slovak Republic Annotation This is a survey on chessboard representations of classes of graceful graphs. We introduced and studied the concept of chessboard representations of graceful graphs in our book Vertex labellings of simple graphs in 2015, however, the book and hence its concepts and methods are not widely accessible. Our survey from the book is complemented by new applications of chessboard representations to the classes of k-enriched fan graphs presented by the first author and Kurtulík in 2021. The aim of the chessboard representations of classes of graceful graphs has been to provide an important value of visualization. Firstly, it leads to seeing better the pattern of the graceful labellings in already known graceful representations of simple graphs. Secondly, it can lead to creating new classes of graceful graphs as is demonstrated on the very recent example of the classes of k-enriched fan graphs. URL Link na plný text Public work category AED No. of Archival Copy 51542 Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ 
article
Title A new class of graceful graphs: k-enriched fan graphs and their characterisations Author info Miroslav Haviar, Samuel Kurtulík Author Haviar Miroslav 1965- (50%) UMBFP10 - Katedra matematiky
Co-authors Kurtulík Samuel (50%)
Source document Cubo : a mathematical journal. Vol. 23, č. 2 (2021), pp. 313-331. - Temuco : Department of mathematics and statistics of the Universidad de La Frontera, 2021 Keywords grafy - charts - graphs graciózne ohodnotenie grafov - graceful labelling of graphs grafové šachovnice - graph chessboards postupnosť Form. Descr. články - journal articles Language English Country Chile Annotation The Graceful Tree Conjecture stated by Rosa in the mid 1960s says that every tree can be gracefully labelled. It is one of the best known open problems in Graph Theory. The conjecture has caused a great interest in the study of gracefulness of simple graphs and has led to many new contributions to the list of graceful graphs. However, it has to be acknowledged that not much is known about the structure of graceful graphs after 55 years. Our paper adds an infinite family of classes of graceful graphs to the list of known simple graceful graphs. We introduce classes of k-enriched fan graphs kF_n for all integers k, n ≥ 2 and we prove that these graphs are graceful. Moreover, we provide characterizations of the k-enriched fan graphs kF_n among all simple graphs via Sheppard's labelling sequences introduced in the 1970s, as well as via labelling relations and graph chessboards. These last approaches are new tools for the study of graceful graphs introduced by Haviar and Ivaška in 2015. The labelling relations are closely related to Sheppard's labelling sequences while the graph chessboards provide a nice visualization of graceful labellings. We close our paper with an open problem concerning another infinite family of extended fan graphs. URL Link na zdrojový dokument Link na plný text Public work category ADM No. of Archival Copy 50548 Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ References PERIODIKÁ-Súborný záznam periodika article
Title Graceful labellings of graphs Par.title [Graciózne ohodnotenia grafov] Subtitle diplomová práca Author info Samuel Kurtulík; školiteľ: Miroslav Haviar Author Kurtulík Samuel
Another authors Haviar Miroslav 1965- (Školiteľ (konzultant))
Corporation Univerzita Mateja Bela . Fakulta prírodných vied . Katedra matematiky , Banská Bystrica, Slovensko Issue data Banská Bystrica , 2020. - 52 s. Keywords graciózne ohodnotenie grafov - graceful labelling of graphs grafy - charts - graphs Form. Descr. diplomové práce - master’s theses Language English Country Slovak Republic systematics 51 Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xk - Kvalifikačné práce Copy count 1, currently available 0, at library only 1 book
Title Recent research on graceful labellings of simple graphs Par.title [Nedávny výskum ohľadne gracióznych ohodnotení] Subtitle bakalárska práca Author info Katarína Kotuľová; školiteľ: Miroslav Haviar Author Kotuľová Katarína
Another authors Haviar Miroslav 1965- (Školiteľ (konzultant))
Corporation Univerzita Mateja Bela . Fakulta prírodných vied . Katedra matematiky , Banská Bystrica, Slovensko Issue data Banská Bystrica , 2020. - 59 s. Keywords grafy - charts - graphs graciózne ohodnotenie grafov - graceful labelling of graphs Form. Descr. bakalárske práce - bachelor’s theses Language English Country Slovak Republic systematics 51 Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xk - Kvalifikačné práce Copy count 1, currently available 0, at library only 1 book
Title Vybrané problémy z teórie grafov Subtitle diplomová práca Author info Michal Ivaška; školiteľ: Miroslav Haviar Author Ivaška Michal 1987-
Another authors Haviar Miroslav 1965- (Školiteľ (konzultant))
Corporation Univerzita Mateja Bela . Fakulta prírodných vied . Katedra matematiky , Banská Bystrica, Slovensko Issue data Banská Bystrica , 2011. - 52 s. Keywords teória grafov - graph theory graciózne ohodnotenie grafov - graceful labelling of graphs grafy - charts - graphs Language Slovak Country Slovak Republic systematics 51 Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xk - Kvalifikačné práce Copy count 1, currently available 0, at library only 1 book
Title Graciózne ohodnotenia grafov vo vyučovaní matematiky Par.title Graceful Labelings of Graphs in Mathematics Education Author info Pavel Klenovčan Author Klenovčan Pavel 1950- (100%) UMBPF07 - Katedra elementárnej a predškolskej pedagogiky
Source document Tvořivost v počátečním vyučování matematiky : vědecká konference s mezinárodní účastí věnovaná matematickému vzdělávání v primární škole : sborník z konference. S. 110-114. - Plzeň : Západočeská univerzita v Plzni, 2011 / Pěchoučková Šárka ; Tvořivost v počátečním vyučování matematiky vědecká konference s mezinárodní účastí Note Bibl.: s. 114 Keywords vyučovanie matematiky - teaching mathematics grafy - charts - graphs graciózne ohodnotenie grafov - graceful labelling of graphs matematické vzdelávanie - mathematical education teória grafov - graph theory graceful labelings Language Slovak Country Czech Republic systematics 51 Public work category AFC No. of Archival Copy 18849 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.
Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ article
Title All trees of diameter five are graceful Author info Pavel Hrnčiar, Alfonz Haviar Author Hrnčiar Pavel 1951- (50%) UMBFP10 - Katedra matematiky
Co-authors Haviar Alfonz (50%) UMBFP10 - Katedra matematiky
Source document Discrete mathematics. Vol. 233, no. 1-3 (2001), pp. 133-150. - : Elsevier Science B. V., 2001 Keywords matematika - mathematics algebra - algebra graciózne ohodnotenie grafov - graceful labelling of graphs Language English Country Netherlands systematics 512 Public work category ADE No. of Archival Copy 21949 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.
BRANKOVIC, L. - WANLESS, I. M. Graceful labelling : state of the art, applications and future directions. In Mathematics in computer science. ISSN 1661-8289, 2011, vol. 5, no. 1, pp. 11-20.
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PANIGRAHI, P. Graceful labelling of some 3-distant trees. In Utilitas mathematica. ISSN 0315-3681, November 2010, vol. 83, pp. 81-93.
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SETHURAMAN, G. - VENKATESH, S. Decomposition of complete graphs and complete bipartite graphs into α-labelled trees. In Ars combinatoria. ISSN 0381-7032, October 2009, vol. 93, no. 1, pp. 371-385.
EL-ZANATI, S. I. - EYNDEN, C. V. On Rosa-type labelings and cyclic graph decompositions. In Mathematica Slovaca. ISSN 0139-9918, 2009, vol. 59, no. 1, pp. 1-18.
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PANIGRAHI, P. - MISHRA, D. Graceful lobsters obtained from diameter four trees using partitioning technique. In Ars combinatoria. ISSN 0381-7032, 2008, vol. 87, pp. 291-320.
MISHRA, D. - PANIGRAHI, P. Some graceful lobsters with both odd and even degree vertices on the central path. In Utilitas mathematica. ISSN 0315-3681, November 2007, vol. 74, pp. 155-177.
BALBUENA, C. - GARCÍA-VÁZQUEZ, P. - MARCOTE, X. - VALENZUELA, J. C. Trees having an even or quasi even degree sequence are graceful. In Applied mathematics letters. ISSN 0893-9659, April 2007, vol. 20, no. 4, pp. 370-375.
MISHRA, D. - PANIGRAHI, P. Graceful lobsters obtained by component moving of diameter four trees. In Ars combinatoria. ISSN 0381-7032, October 2006, vol. 81, pp. 129-146.
MISHRA, D. - PANIGRAHI, P. Graceful lobsters obtained by partitioning and component moving of branches of diameter four trees. In Computers and mathematics with applications. ISSN 0898-1221, August 2005, vol. 50, no. 3-4, pp. 367-380.
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FRONCEK, Dalibor. Product rosy labeling of graphs. In Discussiones Mathematicae Graph Theory. ISSN 1234-3099, 2008, vol. 28, no. 3, pp. 431-439.
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PANIGRAHI, Pratima - MISHRA, Debdas. Graceful labeling of some classes of diameter six and diameter seven trees. In Icfai University Journal of Computational Mathematics. ISSN 0974-6544, December 2008, vol. 1, no. 3, pp. 7-16.
PANIGRAHI, Pratima - MISHRA, Debdas. Larger graceful and interlaced Lobsters obtained by joining smaller ones. In Southeast Asian Bulletin of Mathematics. ISSN 0129-2021, 2009, no. 33, pp. 509-525.
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MISHRA, Debdas - PANDA, Amaresh Chandra - DASH, Rajani Ballav. A Class of ´n´ distant graceful trees. In Studies in Mathematical Sciences. ISSN 1923-8444, 2011, vol. 3, no. 2, pp. 21-27.
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BRINKMANN, Gunnar - CREVALS, Simon - MELOT, Hadrien - RYLANDS, Leanne - STEFFEN, Eckhard. alpha-Labelings and the Structure of Trees with Nonzero alpha-Deficit. In Discrete mathematics and theoretical computer science. ISSN 1462-7264, 2012, vol. 14, no. 1, pp. 159.
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MISHRA, Debdas - PANDA, Amaresh Chandra. Seome new family of graceful lobsters. In Advances and applications in discrete mathematics. ISSN 0974-1658, 2014, vol. 14, no. 1, pp. 1-24.
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JESINTHA, J. Jeba - SUBASHINI, K. On gracefulness of vertex switching of even cycles. In International journal of pure and applied mathematics [online]. 206, vol. 109, no. 10, pp. 11-18 [cit. 2018-01-25]. ISSN 1314-3395. Dostupné na: https://acadpubl.eu/jsi/2016-109-si/10/2.pdf
MISHRA, Debdas - PANDA, Amaresh Chandra. A family of graceful diameter six trees generated by component moving techniques. In British journal of mathematics & computer science [online]. 2017, vol. 21, no. 1, pp. 1-15 [cit. 2019-01-25]. ISSN 2231-0851. Dostupné na: http://www.journalrepository.org/media/journals/BJMCS_6/2017/Mar/Mishra2112016BJMCS31074_1.pdf
MISHRA, Debdas - ROUT KUMA, Sushantut - NAYAK, Purna Chandra. Some new graceful generalized classes of lobsters with pendant vertices with central paths. In Indian journal of science & technology [online]. 2017, vol. 10, no. 6, pp. [1-9][cit. 2019-01-25]. ISSN 0974-5645. Dostupné na: http://www.indjst.org/index.php/indjst/article/viewFile/86164/78296
MISHRA, Debdas - KUMAR, BEHERA, Amiya Kumar - NAYAK, Purna Chandra. Some graceful three distant trees by component moving operation. In International journal of applied and computational mathematics [online]. 2016, vol. 3, no. 2, pp. 1-8. [cit. 2019-01-25]. ISSN 2199-5796. Dostupné na: https://link.springer.com/article/10.1007/s40819-016-0169-4
SATHIAMOORTHY, G. - JANAKIRAMAN, T. N. - AYYASWAMY, S.K. Graceful labeling of generalized dendrimers connected by a path Pn. In International journal of pure and applied mathematics. ISSN 1311-8080, 2018, vol. 119, no. 10, pp. 1417-1446.
CAHIT, I. Graceful labeling of the rooted complete trees. In Mathematics preprint archive SSRN [online]. 2002, no. 8, pp. 145-159 [cit. 2019-03-04]. Dostupné na: https://ssrn.com/abstract=3137730
Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ unrecognised
Title All trees of diameter five are graceful Author info Alfonz Haviar, Pavel Hrnčiar Author Haviar Alfonz UMBFP10 - Katedra matematiky
Co-authors Hrnčiar Pavel 1951- UMBFP10 - Katedra matematiky
Source document Fifth Czech - Slovak International Symposium on Combinatorics, Graph Theory, Algorithms and Applications : Abstracts. S. 48. - Praha : Karlova univerzita, 1998 Keywords matematika - mathematics grafy - charts - graphs stromy - trees graciózne ohodnotenie grafov - graceful labelling of graphs systematics 519.1 Public work category AFG Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ unrecognised