In graph theory, a Hall violator is a set of vertices in a graph, that violate the condition to Hall's marriage theorem.[1]
Formally, given a bipartite graph G = (X + Y, E), a Hall-violator in X is a subset W of X, for which |NG(W)| < |W|, where NG(W) is the set of neighbors of W in G.
If W is a Hall violator, then there is no matching that saturates all vertices of W. Therefore, there is also no matching that saturates X. Hall's marriage theorem says that the opposite is also true: if there is no Hall violator, then there exists a matching that saturates X.
^Lenchner, Jonathan (2020-01-19). "On a Generalization of the Marriage Problem". arXiv:1907.05870v3 [math.CO].
In graph theory, a Hallviolator is a set of vertices in a graph, that violate the condition to Hall's marriage theorem. Formally, given a bipartite graph...
attack, lawsuits were filed alleging fire safety code violations at the venue. "Moscow concert hall where deadly shooting took place has links with Trump"...
interpretation of the behavior and the nature (rewardingness) of the violator. The nature of the violator is evaluated through many categories – attractiveness, prestige...
uses, as a subroutine, an algorithm for finding an inclusion-minimal Hallviolator. Deciding whether a complete local-envy-free allocation exists. Local...
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which include a ban on house parties with large gatherings, which Hall allegedly violated with a celebration of his 21st birthday after several warnings...
29, 2022 – via Twitter. Tanenbaum, Andrew S. (1979). Structured Computer Organization. Englewood Cliffs, New Jersey: Prentice-Hall. ISBN 0-13-148521-0....
crowd of over 60,000 people. In 1990, they released their seventh album, Violator, which reached number seven on the Billboard 200 and was certified triple...
(1997), Epic Records Violator Relativity Records "You And You And You" featuring Redman, Sadat X & June Lover (1996), Violator Relativity Records "Boricuas...
Philip Baker Hall (September 10, 1931 – June 12, 2022) was an American character actor. He is known for his collaborations with Paul Thomas Anderson, including...
from all halls—during March. The event is also used by the halls to popularise their candidates for student body elections. Students who violate the code...
The Tenant of Wildfell Hall is the second and final novel written by English author Anne Brontë. It was first published in 1848 under the pseudonym Acton...
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announced Hall's dismissal from the team for violations of the team's policy. Hall stated he thinks he was ousted due to parking violations. The Kansas...
Preserved at the base is the 16-story Steinway Building (also Steinway Hall), a former Steinway & Sons store designed by Warren and Wetmore and completed...
The World Violation Tour was a 1990 concert tour by English electronic group Depeche Mode in support of the act's seventh studio album, Violator, which was...
charges of parole violation.: 30 A search of Bittaker's apartment revealed several Polaroid photographs which were determined as depicting Hall and Gilliam—both...
adulthood and her love for Mr Rochester, the brooding master of Thornfield Hall. The novel revolutionised prose fiction, being the first to focus on the...
Wilder also played live drums. For "Enjoy the Silence" from the album Violator, Wilder took Martin Gore's melancholy ballad-esque demo and re-envisioned...
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Michael "Mickey" Haller, Junior is a fictional character created by Michael Connelly in his 2005 novel The Lincoln Lawyer. Haller, a Los Angeles-based...
hectares (5.66 acres). The Central Hall consists of the chambers of the Lok Sabha, the Rajya Sabha, and the Library hall. Surrounding these three chambers...
Klepal, Dan; Deere, Stephen. "Former council member's $137k City Hall job violated Atlanta charter". The Atlanta Journal-Constitution. Archived from...
Choate Rosemary Hall (informally shortened to Choate; /tʃoʊt/) is a private, co-educational, college-preparatory boarding school in Wallingford, Connecticut...
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