Partial covers of graphs

  title={Partial covers of graphs},
  author={J. Fiala and J. Kratochv{\'i}l},
  journal={Discuss. Math. Graph Theory},
  • J. Fiala, J. Kratochvíl
  • Published 2002
  • Mathematics, Computer Science
  • Discuss. Math. Graph Theory
  • Given graphs G and H, a mapping f : V (G) → V (H) is a homomorphism if (f(u), f(v)) is an edge of H for every edge (u, v) of G. In this paper, we initiate the study of computational complexity of locally injective homomorphisms called partial covers of graphs. We motivate the study of partial covers by showing a correspondence to generalized (2,1)-colorings of graphs, the notion stemming from a practical problem of assigning frequencies to transmitters without interference. We compare the… CONTINUE READING
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