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A survey on chessboard representations of classes of graceful graphs

  1. TitleA survey on chessboard representations of classes of graceful graphs
    Author infoMiroslav 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
    LanguageEnglish
    CountrySlovak Republic
    AnnotationThis 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 Copy51542
    Catal.org.BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici
    Databasexpca - PUBLIKAČNÁ ČINNOSŤ
Number of the records: 1  

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