A 15-vertex planted clique (blue vertices and upper edges) in a 32-vertex random graph (all vertices and lower edges). Every pair of blue vertices is adjacent; the remaining pairs are adjacent randomly with probability 1/2.
In computational complexity theory, a planted clique or hidden clique in an undirected graph is a clique formed from another graph by selecting a subset of vertices and adding edges between each pair of vertices in the subset. The planted clique problem is the algorithmic problem of distinguishing random graphs from graphs that have a planted clique. This is a variation of the clique problem; it may be solved in quasi-polynomial time but is conjectured not to be solvable in polynomial time for intermediate values of the clique size. The conjecture that no polynomial time solution exists is called the planted clique conjecture; it has been used as a computational hardness assumption.
In computational complexity theory, a plantedclique or hidden clique in an undirected graph is a clique formed from another graph by selecting a subset...
In computer science, the clique problem is the computational problem of finding cliques (subsets of vertices, all adjacent to each other, also called complete...
polynomial time solution include the plantedclique problem in which the goal is to find a large clique in the union of a clique and a random graph. Although...
often considered preferable to an average-case assumption like the plantedclique conjecture. However, for cryptographic applications, knowing that a...
term cannot be improved by any other polynomial time algorithm if the plantedclique conjecture holds. amanpg - R package for Sparse PCA using the Alternating...
graphons, computational analyses of the folk theorem (game theory), the plantedclique, and the partition problem. For prior work on phase transitions, he...
warlord who ruled Shandong from 1925 to 1928. A member of the Fengtian clique, Zhang was notorious for his brutal and ruthless behavior, eccentric personality...
known as a "Clique graph". The clique graphs have vertices which represent the cliques in the original graph while the edges of the clique graph record...
Its plot portrays four teenage girls—three of whom are named Heather—in a clique at an Ohio high school, one of whose lives is disrupted by the arrival of...
approached Beijing, Zhang Zuolin, leader of the Manchuria-based Fengtian clique, was forced to flee, and was assassinated shortly thereafter by the Japanese...
within the space of 12 hours, and clues point to a feud between rival cliques. 413 15 "Late Night Ambush; Fire & Fury" Tulsa, Oklahoma / Mobile, Alabama...
divided as follows: Fengtian clique – Japan Zhili clique – Europe and United States Kuomintang – Soviet Union The Fengtian clique's support from abroad was...
Mellon, her late mother's alma mater. On her first day, she encounters a clique called "The Plastics", composed of leader Mandi Weatherly, ditzy Chastity...
Cavalry Army; Budyonny and Voroshilov became the core of the "Cavalry Army clique" which, under Stalin's patronage, would dominate the Red Army for many years...
member of the clique, but notices several odd behaviors from the others: they seem to constantly suffer small injuries, boil strange plants on the stove...
Chinese warlord who ruled Manchuria from 1916 to 1928. He led the Fengtian clique, one of the most important factions during China's Warlord Era. During the...
groups or "cliques" within the formal groups. These cliques developed informal rules of behavior as well as mechanisms to enforce them. The cliques served...
Aftermath expansion. In this new timeline, Fire God Liu Kang assembles a clique of fighters to participate in the latest Mortal Kombat tournament in Outworld...
were sparked over American gun culture and gun control laws, high school cliques, subcultures (e.g. goths), outcasts, and school bullying, as well as teenage...
album, one EP, and numerous singles as the leader of the hip hop group 116 Clique. He produced much of his earlier material along with other early Reach Records...
General Adam was chosen as the head of Mossad but was hated by a right-wing clique of extremists within it, who co-ordinated his assassination when he went...
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