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Editing to a connected graph of given degrees... We consider the Edge Editing to a Connected Graph of Given Degrees problem that for a given graph G, non-negative integers d, k and a function δ: V (G) → {1,...,...
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Subgraph induced by the set of degree 5 vertices in a contraction critically 5-connected graph AbstractAn edge of a 5-connected graph is said to be contractible if the contraction of the edge results in a 5-connected graph....
The interval function of a connected graph and road systems ... In this paper, a road system on V (as a generalization of the set of all geodesics in a connected graph G with V(G)=V) and an intervaloid function on V (as a generalization of the interval function (in the sense of Mulder) of a connected graph G with V(G)=V) are ...
Trivially noncontractible edges in a contraction critically 5-connected graph AbstractAn edge of a k-connected graph is said to be k-contractible if the contraction of the edge results in a k-connected graph....
Vertices of degree 6 in a contraction critically 6-connected graph AbstractAn edge of a 6-connected graph is said to be 6-contractible if the contraction of the edge results in a 6-connected graph....

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