# graph-theoretical

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**Graph property**— In graph theory a graph property is any inherently graph theoretical property of graphs (formal definitions follow), distinguished from properties of graphs described in terms of various graph representations: graph drawings, data structures for… … Wikipedia**Graph automorphism**— In graph theoretical mathematics, an automorphism of a graph is a form of symmetry in which the graph is mapped onto itself while preserving the edge vertex connectivity.Formally, an automorphism of a graph G = ( V , E ) is a permutation sigma;… … Wikipedia**Graph transformation**— Graph transformation, or Graph rewriting, concerns the technique to create a new graph out of an original graph using some automatic machine. It has numerous applications, ranging from software verification to layout algorithms.Graph… … Wikipedia**Graph theory**— In mathematics and computer science, graph theory is the study of graphs : mathematical structures used to model pairwise relations between objects from a certain collection. A graph in this context refers to a collection of vertices or nodes and … Wikipedia**Graph coloring**— A proper vertex coloring of the Petersen graph with 3 colors, the minimum number possible. In graph theory, graph coloring is a special case of graph labeling; it is an assignment of labels traditionally called colors to elements of a graph… … Wikipedia**Theoretical ecology**— Mathematical models developed in theoretical ecology predict complex food webs are less stable than simple webs.[1]:75–77[2]:64 … Wikipedia**Graph isomorphism**— In graph theory, an isomorphism of graphs G and H is a bijection between the vertex sets of G and H such that any two vertices u and v of G are adjacent in G if and only if ƒ(u) and ƒ(v) are adjacent in H. This kind of bijection is commonly… … Wikipedia**Theoretical neuromorphology**— Morphology is the science of forms independent of the substance and size of objects or figures. Theoretical neuromorphology is the study and the use of logical and mathematical techniques and concepts allowing the study of shapes and connectivity … Wikipedia**Chordal graph**— A cycle (black) with two chords (green). As for this part, the graph is chordal. However, removing one green edge would result in a non chordal graph. Indeed, the other green edge with three black edges would form a cycle of length four with no… … Wikipedia**Chemical graph theory**— is the topology branch of mathematical chemistry which applies graph theory to mathematical modelling of chemical phenomena.[1] The pioneers of the chemical graph theory are Alexandru Balaban, Ivan Gutman, Haruo Hosoya, Milan Randić and Nenad… … Wikipedia