Autor: Drgas-Burchardt, E. - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Corrigendum to "acyclic sum-list-colouring of grids and other classes of graphs" [Opuscula Math. 37, no. 4 (2017), 535 556]
Autorzy:: Drgas-Burchardt, E.
Drzystek, A.
Powiązania:: https://bibliotekanauki.pl/articles/254952.pdf
Data publikacji:: 2018
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: sum-list colouring
acyclic colouring
grids
generalized Petersen graphs
Opis:: This note provides some minor corrections to the article [Acyclic sum-list-colouring of grids and other classes of graphs, Opuscula Math. 37, no. 4 (2017), 535-556].
Źródło:: Opuscula Mathematica; 2018, 38, 6; 899-901
1232-9274
2300-6919
Pojawia się w:: Opuscula Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Acyclic sum-list-colouring of grids and other classes of graphs
Autorzy:: Drgas-Burchardt, E.
Drzystek, A.
Powiązania:: https://bibliotekanauki.pl/articles/254959.pdf
Data publikacji:: 2017
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: sum-list colouring
acyclic colouring
grids
generalized Petersen graphs
Opis:: In this paper we consider list colouring of a graph G in which the sizes of lists assigned to different vertices can be different. We colour G from the lists in such a way that each colour class induces an acyclic graph. The aim is to find the smallest possible sum of all the list sizes, such that, according to the rules, G is colourable for any particular assignment of the lists of these sizes. This invariant is called the D1-sum-choice-number of G. In the paper we investigate the D1-sum-choice-number of graphs with small degrees. Especially, we give the exact value of the D1-sum-choice-number for each grid [formula], when at least one of the numbers n, rn is less than five, and for each generalized Petersen graph. Moreover, we present some results that estimate the D1-sum-choice-number of an arbitrary graph in terms of the decycling number, other graph invariants and special subgraphs.
Źródło:: Opuscula Mathematica; 2017, 37, 4; 535-556
1232-9274
2300-6919
Pojawia się w:: Opuscula Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

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