Wyniki wyszukiwania dla: graph colouring

• Parity vertex colouring of graphs

  Publikacja

  • P. Borowiecki
  • K. Budajova
  • S. Jendrol
  • S. Krajci

  - Discussiones Mathematicae Graph Theory - Rok 2011

  A parity path in a vertex colouring of a graph is a path along which each colour is used an even number of times. Let Xp(G) be the least number of colours in a proper vertex colouring of G having no parity path. It is proved that for any graph G we have the following tight bounds X(G) <= Xp(G) <=|V(G)|− a(G)+1, where X(G) and a(G) are the chromatic number and the independence number of G, respectively. The bounds are improved for...

  Pełny tekst do pobrania w portalu

• Dataset of non-isomorphic graphs being coloring types (K5-e,Km-e;n), 2<m<5, 1<n<R(K5-e,Km-e)

  Dane Badawcze

  open access

  • R. Fidytek
  • G. Graff

  For K5-e and Km-e graphs, the type coloring (K5-e,Km-e;n) is such an edge coloring of the full Kn graph, which does not have the K5-e subgraph in the first color (no edge in the graph) or the Km-e subgraph in the second color (exists edge in the graph). Km-e means the full Km graph with one edge removed.The Ramsey number R(K5-e,Km-e) is the smallest...