منابع مشابه
Can Colour-Blind Distinguish Colour Palettes?
Let c : E(G) → [k] be a colouring, not necessarily proper, of edges of a graph G. For a vertex v ∈ V , let c(v) = (a1, . . . , ak), where ai = |{u : uv ∈ E(G), c(uv) = i}|, for i ∈ [k]. If we re-order the sequence c(v) non-decreasingly, we obtain a sequence c∗(v) = (d1, . . . , dk), called a palette of a vertex v. This can be viewed as the most comprehensive information about colours incident w...
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Let c : E → {1, . . . , k} be an edge colouring of a connected graph G = (V,E). Each vertex v is endowed with a naturally defined pallet under c, understood as the multiset of colours incident with v. If δ(G) > 2, we obviously (for k large enough) may colour the edges of G so that adjacent vertices are distinguished by their pallets of colours. Suppose then that our coloured graph is examined b...
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ژورنال
عنوان ژورنال: Nature
سال: 1878
ISSN: 0028-0836,1476-4687
DOI: 10.1038/019072d0