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Let (alpha in [0,1]) and let (d_{m}) denote the minimum degree in the network.
Proof Since G ≇ K n, we have μ n − 1 ≤ δ, where δ is the minimum degree in G.
At each iteration, we only consider neighbors of node with minimum degree in H and use them to expand H.
An early work[28] has a vertex color graph G with δ+1 colors, where δ is the minimum degree in G.
Since we only extend neighbors of node v with minimum degree in H and H is a min-heap, fetching v can be done in O(1) time.
At each iteration, we only consider neighbors of node with minimum degree in H and use them to expand H. Next we show the partial branching would not miss any feasible solution.
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Table 1 Notations and symbols G V, E) A simple graph with |V| nodes and |E| edges G[H] The subgraph induced by a set of nodes (H subseteq V) Q A set of query nodes (Q subseteq V) (deg_{G} v)) The degree of node v in graph G (delta (G)) The minimum degree of nodes in V(G) (N_{G}(q)) Neighbors of node q in graph G (overline{N_{G} v)}) Non-neighbors of node v in G.
Since v 1 is the vertex with the minimum degree d 1 in V and the total number of edges in bipartite graph G is p q − k, we have ∑ h = 1 p λ 1 ( G ) x h ≤ ( p q − k − d 1 ) y j + d 1 y 1. (6).
They added that they had also found "possible operational abuses, whereby the search engine apparently imposes exorbitant conditions on its partners or customers, treats them in a discriminatory manner or refuses to guarantee a minimum degree of transparency in the contractual relations that it establishes with them".
The selection of regional cases (see Fig. 1) was done based on the existence of a conflict that had achieved a minimum degree of attention in the public.
Minimum degree measurement is used in [4, 11, 28].
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