H-colouring bipartite graphs

  title={H-colouring bipartite graphs},
  author={John Engbers and David Galvin},
  journal={J. Comb. Theory, Ser. B},
For graphs G and H, an H-colouring of G (or homomorphism from G to H) is a function from the vertices of G to the vertices of H that preserves adjacency. H-colourings generalize such graph theory notions as proper colourings and independent sets. For a given H, k ∈ V (H) and G we consider the proportion of vertices of G that get mapped to k in a uniformly chosen H-colouring of G. Our main result concerns this quantity when G is regular and bipartite. We find numbers 0 ≤ a−(k) ≤ a+(k) ≤ 1 with… CONTINUE READING

From This Paper

Topics from this paper.


Publications referenced by this paper.
Showing 1-10 of 13 references

An Entropy Approach to the Hard-Core Model on Bipartite Graphs

  • J. Kahn
  • Combin. Probab. Comput. 10
  • 2001
3 Excerpts

Range of the cube-indexed random walk

  • J. Kahn
  • Israel J. Math. 124
  • 2001
1 Excerpt

Random surfaces with two-sided constraints: an application of the theory of dominant ground states

  • A. Mazel, Y. Suhov
  • J. Stat. Phys. 64
  • 1991
1 Excerpt

Similar Papers

Loading similar papers…