Articles by Author: Tom Vetr K

Search results for Tom Vetr K

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  1. On the radius of neighborhood graphs

    On the radius of neighborhood graphs

    Item type: Journal Article • Journal: Quaestiones Mathematicae
    The k-step graph of a graph G has the same vertex set as G and two vertices are adjacent in if and only if there exists a path of length k connecting them in G. The graph is called the...
  2. Non-proper edge-colouring of graphs and hereditary graph properties

    Non-proper edge-colouring of graphs and hereditary graph properties

    Item type: Journal Article • Journal: Quaestiones Mathematicae
    A graph property is any isomorphism-closed class of graphs. A property is hereditary if, whenever a graph G is in , and H is a subgraph of G, then H is also in . For a hereditary graph property ,...
  3. The partition dimension of circulant graphs

    The partition dimension of circulant graphs

    Item type: Journal Article • Journal: Quaestiones Mathematicae
    Let Π = {S1, S2, . . . , Sk} be an ordered partition of the vertex set V (G) of a graph G. The partition representation of a vertex v ∈ V (G) with respect to Π is the...