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On linear-time algorithms for graph logic
In the study of graph algorithms, Courcelle's theorem is the statement that every graph property definable in the monadic second-order logic of graphs
Courcelle's_theorem
Number denoting a graph's closeness to a tree
the grid-minor theorem", Journal of the ACM, 63 (5): A40:1–65, arXiv:1305.6577, doi:10.1145/2820609, MR 3593966, S2CID 209860422. Courcelle, B. (1990), "The
Treewidth
Logical formulation of graph properties
Andreas; Tantau, Till (October 2010), "Logspace Versions of the Theorems of Bodlaender and Courcelle" (PDF), Proc. 51st Annual IEEE Symposium on Foundations of
Logic_of_graphs
Form of second-order logic
It is particularly important in the logic of graphs, because of Courcelle's theorem, which provides algorithms for evaluating monadic second-order formulas
Monadic_second-order_logic
combinatorics) Courcelle's theorem (graph theory) De Bruijn–Erdős theorem (graph theory) Dirac's theorems (graph theory) Erdős–Gallai theorem (graph theory)
List_of_theorems
French mathematician and computer scientist
Bruno Courcelle is a French mathematician and computer scientist, best known for Courcelle's theorem in graph theory. Courcelle earned his Ph.D. in 1976
Bruno_Courcelle
edges all belong to the same side of the partition. It follows from Courcelle's theorem that the monochromatic triangle problem is fixed-parameter tractable
Monochromatic_triangle
Mathematical tree with cycle through leaves
recognizing Halin graphs in linear time include the application of Courcelle's theorem, or a method based on graph rewriting, neither of which rely on knowing
Halin_graph
Measure of graph complexity
algorithms for clique-width are known. Based on these algorithms and on Courcelle's theorem, many graph optimization problems that are NP-hard for arbitrary
Clique-width
Generalization of depth-first search trees
be recognized efficiently for graphs of bounded treewidth using Courcelle's theorem. Not every infinite connected graph has a Trémaux tree, and not every
Trémaux_tree
Formal language theorem
Büchi–Elgot–Trakhtenbrot theorem states that a language is regular if and only if it can be defined by a formula in monadic second-order logic (MSO). The theorem is due
Büchi–Elgot–Trakhtenbrot theorem
Büchi–Elgot–Trakhtenbrot_theorem
Form of logic that allows quantification over predicates
second-order logic is particularly used in the context of Courcelle's theorem, an algorithmic meta-theorem in graph theory. The MSO theory of the complete infinite
Second-order_logic
State machine for tree structures
was first obtained by Doner. Courcelle's theorem - an application of tree automata to prove an algorithmic meta-theorem about graphs Tree transducers
Tree_automaton
Graph whose induced subgraphs preserve distance
distance-hereditary graph is at most three. As a consequence, by Courcelle's theorem, efficient dynamic programming algorithms exist for many problems
Distance-hereditary_graph
a corresponding tree decomposition) is interpretable in S2S (see Courcelle's theorem). For example, the MSO theory of trees (as graphs) or of series–parallel
S2S_(mathematics)
Type of planar graph
which the conjecture has been proved. A conjectured converse of Courcelle's theorem, according to which every graph property recognizable on graphs of
K-outerplanar_graph
Graph formed by complementation and disjoint union
representation of a cograph. Because cographs have bounded clique-width, Courcelle's theorem may be used to test any property in the monadic second-order logic
Cograph
quasipolynomial time algorithm for deciding parity games. 2022: Bruno Courcelle for Courcelle's theorem on the fixed-parameter tractability of graph properties in
Nerode_Prize
French mathematician, astronomer, and geophysicist (1713–1765)
Earth. In that context, Clairaut deduced what is now known as Clairaut's theorem. He also tackled the gravitational three-body problem, being the first
Alexis_Clairaut
Algorithm component in computer science
unification of a variable V and a structure S to fail if S contains V. In theorem proving, unification without the occurs check can lead to unsound inference
Occurs_check
Set that intersects every one of a family of sets
question in the study of SDR is whether or not an SDR exists. Hall's marriage theorem gives necessary and sufficient conditions for a finite collection of sets
Transversal_(combinatorics)
Alternative mathematical ordering
52. Huntington 1935, p. 6; Čech 1936, p. 25. Calegari 2004, p. 439. Courcelle 2003. Huntington 1935, p. 7; Čech 1936, p. 24. Novák 1984, p. 323. McMullen
Cyclic_order
Algorithmic process of solving equations
∩ s2. After incorporating this algorithm into a clause-based automated theorem prover, he could solve a benchmark problem by translating it into order-sorted
Unification (computer science)
Unification_(computer_science)
Subprefecture and commune in Île-de-France, France
here. Léon Charles Thévenin (1857–1926), engineer, developed a famous theorem (under his name) for electrical circuits. L'Aigle de Meaux – fictional
Meaux
equation of the second order and general proof of the Lagrange reversion theorem by Pierre-Simon Laplace in the late eighteenth and the early nineteenth
List of French inventions and discoveries
List_of_French_inventions_and_discoveries
Decade
largest naval base in Western Europe, opens. Michel Rolle invents Rolle's theorem, which states that any real-valued differentiable function that attains
1690s
Operation in graph theory
collection of graphs can be enumerated efficiently. The Robertson–Seymour theorem states that the graph minor relation is a well-quasi ordering. It was proved
Local_complementation
Decade
Scheuchzer, Swiss scholar (b. 1672) July 12 – Anne-Thérèse de Marguenat de Courcelles, French salon holder (b. 1647) August 16 – Matthew Tindal, English deist
1730s
COURCELLES THEOREM
COURCELLES THEOREM
COURCELLES THEOREM
COURCELLES THEOREM
Boy/Male
Tamil
Thathathan | ததாதாந
Lord Buddha
Boy/Male
Indian
Boy/Male
Indian, Sanskrit
Not Afraid of Troubles
Girl/Female
Muslim
Blessed
Surname or Lastname
English
English : variant spelling of Francom.
Male
Croatian
, sound of peace.
Boy/Male
Muslim/Islamic
Rivulet stream
Surname or Lastname
English (of Norman origin)
English (of Norman origin) : habitational name for someone from any of various minor places in northern France named from Old French aunaie ‘alder grove’.Irish : Anglicized form, influenced by the Norman name, of Gaelic Ó Dubhshláine ‘descendant of Dubhshláine’, a personal name composed of the elements dubh ‘black’ + slán ‘challenge’, ‘defiance’. MacLysaght, however, suggests that this element may be from the Sláinge river.
Female
Spanish
Feminine form of Spanish Herminio, HERMINIA means "army man."
Girl/Female
French American German
Of the race of women. Juniper.
COURCELLES THEOREM
COURCELLES THEOREM
COURCELLES THEOREM
COURCELLES THEOREM
COURCELLES THEOREM
n.
That which is considered and established as a principle; hence, sometimes, a rule.
n.
A theorem or proposition so easy of demonstration as to be almost self-evident.
a.
Containing many names or terms; multinominal; as, the polynomial theorem.
a.
Alt. of Theorematical
a.
Theorematic.
n.
One who constructs theorems.
n.
A numerical coefficient in any particular case of the binomial theorem.
n.
A statement of a principle to be demonstrated.
n.
The enunciation of a self-evident problem, in distinction from an axiom, which is the enunciation of a self-evident theorem.
a.
Of or pertaining to a theorem or theorems; comprised in a theorem; consisting of theorems.
v. t.
To formulate into a theorem.