Optimal Backbone Coloring of Split Graphs with Matching Backbones
For a graph G with a given subgraph H, the backbone coloring is defined as the mapping c : V (G) → N+ such that |c(u) − c(v)| ≥ 2 for each edge {u, v} ∈ E(H) and |c(u) − c(v)| ≥ 1 for each edge {u, v} ∈ E(G). The backbone chromatic number BBC(G,H) is the smallest integer k such that there exists a b...
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Format: | Article |
Language: | English |
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Sciendo
2015-02-01
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Series: | Discussiones Mathematicae Graph Theory |
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Online Access: | https://doi.org/10.7151/dmgt.1786 |