Search Results: Cutset
Redirect to:
Spanning tree
Rabu, 2026-04-29 23:55:29defines 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...
Click to read more »Cut (graph theory)
Sabtu, 2025-11-22 07:26:13In 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...
Click to read more »Dynamic connectivity
Kamis, 2026-01-29 02:34:36affirmative 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...
Click to read more »Connectivity (graph theory)
Rabu, 2025-03-26 06:37:24the 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...
Click to read more »Feedback vertex set
Senin, 2026-03-30 17:55:34Bar-Yehuda, Reuven; Geiger, Dan (2000), "Randomized algorithms for the loop cutset problem", Journal of Artificial Intelligence Research, 12: 219–234, arXiv:1106...
Click to read more »Dual graph
Jumat, 2026-03-27 03:58:01edges 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...
Click to read more »Hybrid algorithm (constraint satisfaction)
Rabu, 2022-03-09 05:14:35cutset is always b {\displaystyle b} . Finding a minimal-size b {\displaystyle b} -cutset is in general hard. However, a b {\displaystyle b} -cutset of...
Click to read more »Decomposition method (constraint satisfaction)
Senin, 2025-12-29 03:33:14decomposition 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...
Click to read more »Skew partition
Sabtu, 2026-01-31 00:59:35to 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...
Click to read more »Junction tree algorithm
Senin, 2025-12-15 04:20:29solution. It is an approximate inference. Cutset conditioning: Used with smaller sets of variables. Cutset conditioning allows for simpler graphs that...
Click to read more »Karger's algorithm
Selasa, 2026-05-05 17:50:11two 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...
Click to read more »Local search (constraint satisfaction)
Rabu, 2025-08-20 16:36:19cycle 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...
Click to read more »Laminar set family
Rabu, 2025-12-10 01:03:33separators 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...
Click to read more »ARP4761
Kamis, 2025-07-24 01:32:00FTA to demonstrate that the hazard probability limits are in fact met. Cutset analysis of the fault trees demonstrates that no single failure condition...
Click to read more »Shannon switching game
Rabu, 2026-02-25 09:15:58a 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...
Click to read more »Even-hole-free graph
Jumat, 2025-07-18 00:32:44Vušković, 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...
Click to read more »Strong perfect graph theorem
Kamis, 2024-10-17 06:06:51doi:10.1007/s10107-003-0449-8, MR 2004404. Chvátal, Václav (1985), "Star-cutsets and perfect graphs", Journal of Combinatorial Theory, Series B, 39 (3):...
Click to read more »Sperner family
Senin, 2025-09-15 14:10:27Then 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...
Click to read more »Wojciech Samotij
Senin, 2026-03-09 03:03:401007/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...
Click to read more »Paul Seymour (mathematician)
Kamis, 2026-05-07 07:10:44that 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...
Click to read more »