On the minimum rainbow subgraph number of a graph

Ingo Schiermeyer

Abstract


We consider the Minimum Rainbow Subgraph problem (MRS): Given a graph G, whose edges are coloured with p colours. Find a subgraph FG of minimum order and with p edges such that each colour occurs exactly once. This problem is NP-hard and APX-hard. For a given graph G and an edge colouring c with p colours we define the rainbow subgraph number rs(G, c) to be the order of a minimum rainbow subgraph of G with size p. In this paper we will show lower and upper bounds for the rainbow subgraph number of a graph.

Keywords


Edge colouring, rainbow subgraph.

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DOI: https://doi.org/10.26493/1855-3974.246.94d

ISSN: 1855-3974

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