English

Clique Cover Width and Clique Sum

Combinatorics 2015-02-26 v2

Abstract

For a clique cover CC in the undirected graph GG, the clique cover graph of CC is the graph obtained by contracting the vertices of each clique in CC into a single vertex. The clique cover width of G, denoted by CCW(G)CCW(G), is the minimum value of the bandwidth of all clique cover graphs of GG. When GG is the clique sum of G1G_1 and G2G_2, we prove that CCW(G)3/2(CCW(G1)+CCW(G2))CCW(G) \le 3/2(CCW(G_1) + CCW(G_2)).

Cite

@article{arxiv.1502.06165,
  title  = {Clique Cover Width and Clique Sum},
  author = {Farhad Shahrokhi},
  journal= {arXiv preprint arXiv:1502.06165},
  year   = {2015}
}
R2 v1 2026-06-22T08:34:44.098Z