Search Results: Cutset

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Spanning tree
Rabu, 2026-04-29 23:55:29

defines a set of V − 1 fundamental cutsets, one for each edge of the spanning tree. The duality between fundamental cutsets and fundamental cycles is established...

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Cut (graph theory)
Sabtu, 2025-11-22 07:26:13

In graph theory, a cut is a partition of the vertices of a graph into two disjoint subsets. Any cut determines a cut-set, the set of edges that have one...

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Dynamic connectivity
Kamis, 2026-01-29 02:34:36

affirmative by the Cutset structure. Given a graph G(V, E) and a subset T⊆V, define cutset(T) as the set of edges that connect T with V\T. The cutset structure...

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Connectivity (graph theory)
Rabu, 2025-03-26 06:37:24

the edges incident on some (minimum-degree) vertex. A cutset X of G is called a non-trivial cutset if X does not contain the neighborhood N(u) of any vertex...

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Feedback vertex set
Senin, 2026-03-30 17:55:34

Bar-Yehuda, Reuven; Geiger, Dan (2000), "Randomized algorithms for the loop cutset problem", Journal of Artificial Intelligence Research, 12: 219–234, arXiv:1106...

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Dual graph
Jumat, 2026-03-27 03:58:01

edges of a cutset necessarily splits the graph into at least two connected components. A minimal cutset (also called a bond) is a cutset with the property...

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Hybrid algorithm (constraint satisfaction)
Rabu, 2022-03-09 05:14:35

cutset is always b {\displaystyle b} . Finding a minimal-size b {\displaystyle b} -cutset is in general hard. However, a b {\displaystyle b} -cutset of...

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Decomposition method (constraint satisfaction)
Senin, 2025-12-29 03:33:14

decomposition is the number of variables in the cutset. The width of a problem is the minimal width of its cycle cutset decompositions. Such a decomposition does...

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Skew partition
Sabtu, 2026-01-31 00:59:35

to all the others. Every clique separator is a star cutset. Necessarily, a graph with a star cutset (with more than one vertex) has a skew partition in...

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Junction tree algorithm
Senin, 2025-12-15 04:20:29

solution. It is an approximate inference. Cutset conditioning: Used with smaller sets of variables. Cutset conditioning allows for simpler graphs that...

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Karger's algorithm
Selasa, 2026-05-05 17:50:11

two non-empty, disjoint sets S ∪ T = V {\displaystyle S\cup T=V} . The cutset of a cut consists of the edges { u v ∈ E : u ∈ S , v ∈ T } {\displaystyle...

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Local search (constraint satisfaction)
Rabu, 2025-08-20 16:36:19

cycle cutset, which is a set of variables that, if removed from the problem, makes it acyclic. For any assignment of the variables of the cutset, the remaining...

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Laminar set family
Rabu, 2025-12-10 01:03:33

separators play a crucial role in decomposing planar graphs. A k-separator (or k-cutset) in a k-connected graph is a subset of k vertices whose deletion disconnects...

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ARP4761
Kamis, 2025-07-24 01:32:00

FTA to demonstrate that the hazard probability limits are in fact met. Cutset analysis of the fault trees demonstrates that no single failure condition...

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Shannon switching game
Rabu, 2026-02-25 09:15:58

a circuit, while Cut tries to secure an edge set that with e makes up a cutset, the minimal set of edges that connect two subgraphs. Versions of the Shannon...

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Even-hole-free graph
Jumat, 2025-07-18 00:32:44

Vušković, Kristina (2008), Decomposition of even-hole-free graphs with star cutsets and 2-joins Chang, Hsien-Chih; Lu, Hsueh-I (January 2012), "A Faster Algorithm...

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Strong perfect graph theorem
Kamis, 2024-10-17 06:06:51

doi:10.1007/s10107-003-0449-8, MR 2004404. Chvátal, Václav (1985), "Star-cutsets and perfect graphs", Journal of Combinatorial Theory, Series B, 39 (3):...

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Sperner family
Senin, 2025-09-15 14:10:27

Then b ( H ) {\displaystyle b(H)} is the collection of all minimal edge cutsets in G. There is a minor relation on clutters which is similar to the minor...

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Wojciech Samotij
Senin, 2026-03-09 03:03:40

1007/s11856-013-0067-y with Ron Peled: Peled, Ron; Samotij, Wojciech (August 2014), "Odd cutsets and the hard-core model on Z d {\displaystyle \mathbb {Z} ^{d}} ", Annales...

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Paul Seymour (mathematician)
Kamis, 2026-05-07 07:10:44

that are essentially of bounded genus by piecing them together at small cutsets in a tree structure; a proof of a conjecture of Wagner that in any infinite...

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