Limits and universal morphisms Colimits in comma categories may be "inherited". If and are cocomplete, is a cocontinuous functor, and another funct...

C ) can be made precise in several ways; the most succinct formulation uses the language of adjoint functors . Every functor F  : D ? E induces a f...

Definitions 1.1 Graph 2 Types of graphs 2.1 Directed graph 2.2 Undirected graph 2.3 Finite graph 2.4 Simple graph 2.5 Regular graph 2.6 Weighted gr...

Planar graphs and outerplanar graphs Graphs that can be embedded on any fixed two-dimensional manifold Forests and pseudoforests Cactus graphs Apex...

Many of the following properties follow immediately from the standard way in which line graphs translate properties about edges in graphs to proper...

Another article treats the concept of species in biology . In combinatorial mathematics , the theory of combinatorial species is an abstract, syste...

Certain graph families have also been characterized in terms of their maximal cliques or maximal independent sets. Examples include the maximal cli...

Special cases of degree value 3.1 Isolated vertex 3.2 Leaf vertex 3.3 Regular graph 3.4 Source 3.5 Sink 3.6 Eulerian graph 3.7 Pseudoforest 4 Some ...

The graphs Peirce proposed three systems of existential graphs: alpha , isomorphic to sentential logic and the two-element Boolean algebra ; beta ,...

Edge coloring Edges are colored List coloring Each vertex chooses from a list of colors List edge-coloring Each edge chooses from a list of colors ...