-Invariant tensors and graphs
We describe a correspondence between -invariant tensors and graphs. We then show how this correspondence accommodates various types of symmetries and orientations.
Generalized graph cordiality
Hovey introduced A-cordial labelings in [4] as a simultaneous generalization of cordial and harmonious labelings. If A is an abelian group, then a labeling f: V(G) → A of the vertices of some graph G induces an edge-labeling on G; the edge uv receives the label f(u) + f(v). A graph G is A-cordial if there is a vertex-labeling such that (1) the vertex label classes differ in size by at most one and (2) the induced edge label classes differ in size by at most one. Research on A-cordiality...
Generalized Hantzsche-Wendt flat manifolds.
We study the family of closed Riemannian n-manifolds with holonomy group isomorphic to Z2n-1, which we call generalized Hantzsche-Wendt manifolds. We prove results on their structure, compute some invariants, and find relations between them, illustrated in a graph connecting the family.
Graph Cohomology, Colored Posets and Homological Algebra in Functor Categories
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
Graphes planaires et présentations des groupes de tresses.
Graphical Regular Representations of Alternating, Symmetric, and Miscellaneous Small Groups.
Graphs and Finite Permutation Groups.
Graphs and Finite Permutation Groups. II.
Graphs and quasitrivial groupoids
Graphs from Projective Planes.
Graphs having no quantum symmetry
We consider circulant graphs having vertices, with prime. To any such graph we associate a certain number , that we call type of the graph. We prove that for the graph has no quantum symmetry, in the sense that the quantum automorphism group reduces to the classical automorphism group.
Graphs of actions on R-trees.
Graphs of finite abelian groups
Graphs of morphisms of graphs.
Graphs of semigroups
Graphs which are edge-locally
Graphs which are locally Grassmann.
Graphs with given subgraphs represent all categories
Graphs with given subgraphs represent all categories. II.