Editing to a connected graph of given degrees

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Editing to a Connected Graph of Given Degrees

The aim of edge editing or modification problems is to change a given graph by adding and deleting of a small number of edges in order to satisfy a certain property. 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, . . . , d}, asks whether it is possible to obtain a connected graph G′ f...

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Editing to a Graph of Given Degrees

We consider the Editing to a Graph of Given Degrees problem that asks for a graph G, non-negative integers d, k and a function δ : V (G) → {1, . . . , d}, whether it is possible to obtain a graph G from G such that the degree of v is δ(v) for any vertex v by at most k vertex or edge deletions or edge additions. We construct an FPT-algorithm for Editing to a Graph of Given Degrees parameterized ...

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Editing to a Planar Graph of Given Degrees

We consider the following graph modification problem. Let the input consist of a graph G = (V,E), a weight function w : V ∪E → N, a cost function c : V ∪E → N and a degree function δ : V → N0, together with three integers kv, ke and C. The question is whether we can delete a set of vertices of total weight at most kv and a set of edges of total weight at most ke so that the total cost of the de...

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Graph Editing to a Given Degree Sequence

We investigate the parameterized complexity of the graph editing problem called Editing to a Graph with a Given Degree Sequence, where the aim is to obtain a graph with a given degree sequence σ by at most k vertex or edge deletions and edge additions. We show that the problem is W[1]-hard when parameterized by k for any combination of the allowed editing operations. From the positive side, we ...

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Editing to Connected f-Degree Graph

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ژورنال

عنوان ژورنال: Information and Computation

سال: 2017

ISSN: 0890-5401

DOI: 10.1016/j.ic.2017.04.013