Sökning: "Hypergraph"

Visar resultat 1 - 5 av 12 avhandlingar innehållade ordet Hypergraph.

  1. 1. On hypergraph algebras

    Författare :Eric Emtander; Jörgen Backelin; Ralf Fröberg; Jakob Jonsson; Stockholms universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Mathematics; matematik;

    Sammanfattning : .... LÄS MER

  2. 2. Hardness of Constraint Satisfaction and Hypergraph Coloring : Constructions of Probabilistically Checkable Proofs with Perfect Completeness

    Författare :Sangxia Huang; Johan Håstad; Rishi Saket; KTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Combinatorial optimization; approximation; inapproximability; hardness; probabilistically checkable proofs; pcp; perfect completeness; boolean constraint satisfaction problem; csp; graph coloring; hypergraph coloring; direct sum; superposition; label cover; Computer Science; Datalogi;

    Sammanfattning : A Probabilistically Checkable Proof (PCP) of a mathematical statement is a proof written in a special manner that allows for efficient probabilistic verification. The celebrated PCP Theorem states that for every family of statements in NP, there is a probabilistic verification procedure that checks the validity of a PCP proof by reading only 3 bits from it. LÄS MER

  3. 3. Parameterized algorithms for hitting set variants applied to protein identification in shotgun proteomics

    Författare :Leonid Molokov; Chalmers tekniska högskola; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Union Editing; Fixed Parameter Tractable; Shotgun proteomics; Hitting Set; Parameterized complexity; Hypergraph; Set Cover;

    Sammanfattning : This work is dedicated to problem of protein identification in bottom-up proteomics, and in particular, in shotgun proteomics. It is aimed on providing a new way of interpretation of peak lists. LÄS MER

  4. 4. Protein Mixture Inference as Hitting Set Variants and Linear Algebra Problems

    Författare :Leonid Molokov; Chalmers tekniska högskola; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Union Editing; Shotgun proteomics; Parameterized complexity; Protein Inference; Shared Peptides; Set Cover; Hypergraph; Hitting Set; Fixed Parameter Tractable; Protein Quan- ti; Star Editing;

    Sammanfattning : This work is dedicated to the problems of protein inference and quantification in bottom-up proteomics, and, in particular, in shotgun proteomics. We adopt a rather classical approach of representing inference problem as a set cover, where proteins are understood as sets of their observations: peptides' masses or sequences. LÄS MER

  5. 5. Chordal and Complete Structures in Combinatorics and Commutative Algebra

    Författare :Eric Emtander; Jörgen Backelin; Ralf Fröberg; Bernd Sturmfels; Stockholms universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Betti numbers; chordal hypergraphs; complete hypergraphs; hypercycle; line hypergraph; numerical monoids; positive affine monoids; Other mathematics; Övrig matematik; Mathematics; matematik;

    Sammanfattning : This thesis is divided into two parts. The first part is concerned with the commutative algebra of certain combinatorial structures arising from uniform hypergraphs. The main focus lies on two particular classes of hypergraphs called chordal hypergraphs and complete hypergraphs, respectively. LÄS MER