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Displaying 141 – 160 of 430

Graph Cohomology, Colored Posets and Homological Algebra in Functor Categories

Jolanta Słomińska (2012)

Bulletin of the Polish Academy of Sciences. Mathematics

The homology theory of colored posets, defined by B. Everitt and P. Turner, is generalized. Two graph categories are defined and Khovanov type graph cohomology are interpreted as Ext* groups in functor categories associated to these categories. The connection, described by J. H. Przytycki, between the Hochschild homology of an algebra and the graph cohomology, defined for the same algebra and a cyclic graph, is explained from the point of view of homological algebra in functor categories.

Graph representations of finite Abelian groups

Bohdan Zelinka (1981)

Czechoslovak Mathematical Journal

Graphes planaires et présentations des groupes de tresses.

Vlad Sergiescu (1993)

Mathematische Zeitschrift

Graphical Regular Representations of Alternating, Symmetric, and Miscellaneous Small Groups.

Mark E. Watkins (1974)

Aequationes mathematicae

Graphs and Finite Permutation Groups.

Charles C. Sims (1967)

Mathematische Zeitschrift

Graphs and Finite Permutation Groups. II.

Charles C. Sims (1968)

Mathematische Zeitschrift

Graphs and quasitrivial groupoids

Milan Vítek (1986)

Acta Universitatis Carolinae. Mathematica et Physica

Graphs from Projective Planes.

T.D. Parsons (1976)

Aequationes mathematicae

Graphs having no quantum symmetry

Teodor Banica, Julien Bichon, Gaëtan Chenevier (2007)

Annales de l’institut Fourier

We consider circulant graphs having $p$ vertices, with $p$ prime. To any such graph we associate a certain number $k$ , that we call type of the graph. We prove that for $p ≫ k$ the graph has no quantum symmetry, in the sense that the quantum automorphism group reduces to the classical automorphism group.