vertex set
Faster deterministic feedback vertex set
... the vertex set is split into two parts, both inducing forests, and we are allowed to delete vertices only from the second ...a set of reduction and branching rules to cope with this structuralized ...
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Simple Proof of Hardness of Feedback Vertex Set
... Feedback Vertex Set problem (FVS), where the goal is to find a small subset of vertices that intersects every cycle in an input directed graph, is among the fundamental problems whose approximability is not ...
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Linear time parameterized algorithms for subset feedback vertex set
... and vertex set M ⊆ V (G), the graph torso(G, M ) has vertex set M ...the set χ(a) ∩ χ(b) is called an adhesion of the tree decomposition (F, ...
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An Algorithm for the Feedback Vertex Set Problem on a Normal Helly Circular Arc Graph
... 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 ...
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On group feedback Vertex Set parameterized by the size of the cutset
... tex Set [10] is in place; note that the bound on the running time of our algorithm matches the one for Subset Feedback Vertex Set [10], while our algorithm works in a much more general ...Feedback ...
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Minimum Weighted Feedback Vertex Set on Diamonds
... a vertex weighted graph G, a minimum Weighted Feedback Vertex Set (MWFVS) is a subset F ⊆ V of vertices of minimum weight such that each cycle in G contains at least one vertex in ...
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Efficient Pruning Techniques by Vertex set Similarity and Graph Topology
... the vertex as fundamental record ...weighted set similitude on vertices, which will bring about high post processing expense of set closeness ...
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A linear time algorithm for the minimum Weighted Feedback Vertex Set on diamonds
... However, from an implementation point of view, this choice would require both the storage of a large quan- tity of data and the use of complex data structures to manage sets. Now, we describe a more efficient strat- egy ...
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Vol 9, No 4 (2018)
... the vertex set of G. For a vertex v of G, the eccentricity e(v) is the distance between v and a vertex farthest from ...nonempty set W of vertices in a connected graph G, the Steiner ...
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Some Properties of Glue Graph
... some vertex, otherwise ...point set graph is a graph with vertex set v(G) and two vertices are adjacent if and only if they correspond to two vertices of G with equal eccentricities ...The ...
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DOMINATION AND EDGE DOMINATION IN TREES
... on vertex set or domination parameters defined on edge ...on vertex set with a domination parameter defined on edge set, see [4, ...edge set, edge domination, is compared with a ...
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Relatively prime dominating polynomial in graphs
... dominating set of size s+ 1 is obtained by selecting the vertex set D and the vertex ...dominating set of size s +2 is obtained by selecting the vertex set D, a ver- tex ...
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A BIPARTITE GRAPH ASSOCIATED WITH IRREDUCIBLE ELEMENTS AND GROUP OF UNITS IN $\mathbb{Z}_n$
... a vertex-set as the union of the set of irreducible elements and group of units and an edge-set as the set of pairs between irreducible elements and their unit ...the set of ...
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Which fullerenes are stable?
... the vertex set of the dual graph is the set of faces of the original graph and two vertices in the dual graph are adjacent if and only if the two faces share an edge in the original ...
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Eternal Independent Sets in Graphs
... Let G = (V, E) denote a finite, undirected graph with vertex set V and edge set E. The problem of protecting a graph with mobile guards has been studied in a number of recent papers. We shall begin ...
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THE STRONG (WEAK) VV-DOMINATING SET OF A GRAPH
... The set of vertices is said to be an independent set if no two vertices in the set are ...independent set is called independence number 𝛽 0 (𝐺). If a vertex v is incident with an edge x ...
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Path Induced Geodesic Graphs
... geodetic set 𝑆 ⊆ 𝑉(𝐺) is said to be a path induced geodetic (pig) set of 𝐺 if < 𝑆 > contais a path 𝑃, where 𝑉(𝑃) = ...geodetic set of 𝐺 is called a path induced geodetic number of𝐺 and is ...
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A New General Parser for Extensible Languages
... The major problem with the multipass method is that for each vertex iteration in a pass, rules are being matched against paths that contain vertices that have not been examined in the current pass. This means ...
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Graph Theory
... Hamiltonian graph if it admits a Hamiltonian cycle is called Hamiltonian Graph. Hamiltonian graph is also called as Hamilton graph. Hamiltonian Circuit visits each vertex exactly once except for the first ...
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Download PDF
... Proof. We use induction by using 𝑘 operations to obtain the tree 𝑇. If 𝑇 = 𝑇 = 𝑃 , then 𝛾 (𝑃 ) = 6 3 = 2 ⁄ . Now let 𝑘 is a positive integer. It is assumed that the result is true for every 𝑇 = 𝑇 which is an element of ℱ ...
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