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A n-[p]colouring of a graph G is a mapping c from V G) into the set of the subsets of {1,2,…,n} such that |c v)|=p v) and for any adjacent vertices u and v, c u)∩c v)=∅.
A geodesic joining x ∈ X to y ∈ X is a mapping c from a closed interval [ 0, l ] ⊂ R to X such that c ( 0 ) = x c ( l ) = y and d ( c ( t ), c ( t ′ ) ) = | t − t ′ | for all t, t ′ ∈ [ 0, l ].
A geodesic joining x ∈ X to y ∈ X is a mapping c from a closed interval [0, l] ⊂ ℝ to X such that c(0) = x, c(l) = y and d(c(t), c(t')) = |t-t'| for all t, t'∈ [0, l].
A geodesic from x to y in X is a mapping c from a closed interval ([ 0,l ] subsetmathbb{R}) to X such that (c ( 0 ) =x), (c ( l ) =y), and (d ( c ( t ),c ( t^{prime} ) ) =vert t-t^{prime }vert ) for all (t,t^{prime}in [ 0,l ] ).
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A geodesic path joining (xin X) to (yin X) (or, more briefly, a geodesic from x to y) is a map c from a closed interval ([0,l]subsetmathbb{R}) to X such that (c(0)=x), (c(l)=y) and (d(c(t),c(t'))=|t-t'|) for all (t,t'in[0,l]).
A geodesic path joining x ∈ X to y ∈ X (or, more briefly, a geodesic from x to y) is a map c from a closed interval [ 0, l ] ⊂ R to X such that c ( 0 ) = x, c ( l ) = y and d ( c ( t ), c ( t ′ ) ) = | t − t ′ | for all t, t ′ ∈ [ 0, l ].
A geodesic path joining x ∈ X to y ∈ X (or, more briefly, a geodesic from x to y) is a map c from a closed interval [0, ℓ] ⊆ R to X such that c(0) = x, c = y, and d(c(t), c(t′)) = |t - t′| for all t, t′ ∈ [0, ℓ].
A geodesic path joining x to y in X (or briefly, a geodesic from x to y) is a map c from a closed interval [ 0, l ] ⊂ R into X such that c ( 0 ) = x, c ( l ) = y, and d ( c ( t ), c ( t ′ ) ) = | t − t ′ | for all t, t ′ in [ 0, l ].
A geodesic path joining (x in X) to (y in X) (or, more briefly, a geodesic from x to y) is a map c from a closed interval ([0, l] subsetBbb{R}) to X such that (c(0) = x), (c(l) = y), and (d(c(t), c(t')) = |t - t'|) for all (t, t' in[0, l]).
A geodesic path joining x ∈ X to y ∈ Y (briefly, a geodesic from x to y) is a map c from a closed interval [0, l] ⊆ ℝ to X such that c(0) = x, c(l) = y and d(c(t), c(t')) = |t - t'| for all t, t' ∈ [0, l].
A geodesic path joining (xin X) to (yin X) (or, more briefly, a geodesic from x to y) is a map c from a closed interval ([0,l]subset mathbb{R}) to X such that (c(0)=x), (c(l)=y), and (rho(c(t),c(t^{prime}))=|t-t^{prime}|) for all (t,t^{prime}in[0,l]).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com