In graph theory, the cycle rank of a directed graph is a digraph connectivity measure proposed first by Eggan and Büchi (Eggan 1963). Intuitively, this...
10 KB (1,223 words) - 07:32, 16 July 2024
In graph theory, a branch of mathematics, the circuit rank, cyclomatic number, cycle rank, or nullity of an undirected graph is the minimum number of...
13 KB (1,616 words) - 00:29, 29 August 2024
osteoclastogenesis, triggering a vicious cycle of bone destruction that is seen in metastatic bone tumors. Most therapies that target the RANK/RANKL/OPG axis aim to either...
23 KB (3,035 words) - 06:16, 25 December 2023
example, the matrix theory rank of the matrix is 4, because its column vectors are linearly independent. Circuit rank Cycle rank Nullity (graph theory) Weisstein...
3 KB (358 words) - 14:43, 28 May 2024
smallest margin of victory are dropped, whereas in ranked pairs only elections that create a cycle are eligible to be dropped (with defeats being dropped...
22 KB (2,548 words) - 18:41, 27 August 2024
concepts from graph theory and automata theory. In graph theory, the cycle rank r(G) of a directed graph (digraph) G = (V, E) is inductively defined as...
10 KB (1,352 words) - 02:29, 3 December 2023
Ranked Pairs (RP) is a tournament-style system of ranked voting first proposed by Nicolaus Tideman in 1987. Ranked pairs begins with a round-robin tournament...
8 KB (887 words) - 17:56, 6 September 2024
because a directed cycle is strongly connected and every non-trivial strongly connected component contains at least one directed cycle. Several algorithms...
13 KB (1,639 words) - 00:49, 28 July 2024
and n − c is the rank of the oriented incidence matrix. This name is rarely used; the number is more commonly known as the cycle rank, cyclomatic number...
2 KB (318 words) - 18:08, 11 August 2023
Cholesky decomposition (section Rank-one update)
implementation which can be used in Java, Scala and any other JVM language. Cycle rank Incomplete Cholesky factorization Matrix decomposition Minimum degree...
51 KB (7,649 words) - 00:25, 30 August 2024