[PDF] Top 20 Minimum Weighted Feedback Vertex Set on Diamonds

... a weighted graph, where V is the set of vertices, E ⊆ V ×V is the set of edges and w : V → + is a weight function which associates a positive real number to each vertex of G ...a ... See full document

... each vertex v of G is associ- ated a weight w(v) we have a vertex weighted ...The Weighted Feedback Vertex Problem (WFVP) on a weighted graph G consists in finding an FVS ... See full document

... the set of vertices and E is the set of edges of G, with V = n and E = m ...whose vertex set is V ′ and whose edge set is the set of those edges of G that have both vertices in V ... See full document

... the minimum eccentricity among the vertices of G is called the radius of G and is denoted by R ( G ) ...The set of all vertices of minimum eccentricity is called the center of ... See full document

... Finding Vertex Cuts ...a minimum vertex cut between two sets Y1 and Y2 in a graph G, or equivalently, a maximum set of vertex-disjoint paths between two ...a minimum edge cut is ... See full document

... classical Feedback Vertex Set problem ( FVS ) where, given an undirected graph G, we seek for a minimum set of vertices that hits all cycles of ...given set of terminals in a ... See full document

... on vertex-weighted graphs to FVS on unweighted graphs—replace each vertex v by a set of new vertices s(v) whose cardinality is proportional to the weight of v, and replace each edge (u,v) by ... See full document

... no vertex of degree at most 1 in G lies on a cycle in ...a vertex v, there exists a cycle in G[U ∪{v}] and thus v needs to be included in any solution to the instance ...a minimum solution to the ... See full document

... A vertex set S is said to be a dominating set of vertices if every vertex in the graph is either in the set S or has a neighbor in ...entire set of vertices of a graph is a ... See full document

... a vertex cover is a subset of V , C, such that for all uv ∈ E, at least one of u or v is in ...A minimum vertex cover is a vertex cover of the smallest possible ...a minimum ... See full document

... Unless mentioned otherwise for terminology and notation the reader may refer F. Harary [7], new ones will be introduced as and when found necessary. Let G = (V (G), E(G)) be a finite, simple and connected graph, where V ... See full document

... denoted by ε(v), is the maximum distance from vertex v to any other vertex. The diameter of a graph G is denoted by diam(G) and is the maximum eccentricity over all vertices in a graph G. The radius r = ... See full document

... to vertex 2 which is equal to 1.4. Now vertex 2 is chosen as permanent and check the distance from vertex 2 to the neighbor vertices, to each neighbor vertex is add the length of the permanent ... See full document

... the minimum over all cuts in the hypergraph of the ratio of the number of the hyperedges cut to the size of the smaller side of the ...Small- Set Expansion problem, which, for a parameter δ ∈ (0,1/2], asks ... See full document

... a vertex v ∈ V (G), d(v) denotes the degree of the vertex v, that is, the number of edges incident with v, where a loop incident with v is counted ... See full document

... In a tour de force, Kabadi & Punnen [13, 16] designed an O(n 2 ) polynomial time algorithm for recognizing linearizable instances of the QAP in Koopmans-Beckmann form. Furthermore, [16] derived a purely combinatorial ... See full document

... action set has been updated based on the feedback obtained from the envi- ronment, the action set is supplied as input to the genetic ...action set, rather than the whole ... See full document

... independent set, hence the completeness proof is ...independent set can only be slightly ...independent set of size β n, G 0 does not have independent set of size β n ...independent set ... See full document

... with set resemblance (SMS 2 ) query which retrieves the subgraphs that are structurally similar to that of the graph which represents the query on that ...Each vertex in the graph in both query and graph ... See full document

... countries. We use the 10 African countries that have full country-level data for bank regulatory capital to risk-weighted assets ratio from 2004 to 2014 and take the average of the ratio for each country. This ... See full document