Minimum Feedback Vertex Sets in Distance Graphs and Circulant Graphs

Autor: Hamamache Kheddouci, Olivier Togni
Jazyk: angličtina
Rok vydání: 2008
Předmět:
Zdroj: Discrete Mathematics & Theoretical Computer Science, Vol 10, Iss 1 (2008)
Druh dokumentu: article
ISSN: 1462-7264
1365-8050
Popis: For a set D⊂ Z n, the distance graph P n (D) has Z n as its vertex set and the edges are between vertices i and j with |i-j|∈D. The circulant graph C n (D) is defined analogously by considering operations modulo n. The minimum feedback vertex set problem consists in finding the smallest number of vertices to be removed in order to cut all cycles in the graph. This paper studies the minimum feedback vertex set problem for some families of distance graphs and circulant graphs depending on the value of D.
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