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In molecular spectroscopy, a Jablonski diagram is a diagram that illustrates the electronic states and often the vibrational levels of a molecule, and also the transitions between them. The states are arranged vertically by energy and grouped horizontally by spin multiplicity . [ 1 ]
In an undirected simple graph of order n, the maximum degree of each vertex is n − 1 and the maximum size of the graph is n(n − 1) / 2 . The edges of an undirected simple graph permitting loops G {\displaystyle G} induce a symmetric homogeneous relation ∼ {\displaystyle \sim } on the vertices of G {\displaystyle G} that is called ...
Fluorescence is illustrated schematically with the classical Jablonski diagram, first proposed by Jabłoński in 1933 [2] to describe absorption and emission of light. In 1946, he settled in Toruń where he was appointed Head of the Faculty of Physics at the Nicolaus Copernicus University .
A framed trace diagram is a trace diagram together with a partition of the degree-1 vertices V 1 into two disjoint ordered collections called the inputs and the outputs. The "graph" underlying a trace diagram may have the following special features, which are not always included in the standard definition of a graph:
In mathematics and computer science, trace theory aims to provide a concrete mathematical underpinning for the study of concurrent computation and process calculi.The underpinning is provided by an algebraic definition of the free partially commutative monoid or trace monoid, or equivalently, the history monoid, which provides a concrete algebraic foundation, analogous to the way that the free ...
A claw is a tree with one internal vertex and three leaves, or equivalently the complete bipartite graph K 1,3. A claw-free graph is a graph that does not have an induced subgraph that is a claw. clique A clique is a set of mutually adjacent vertices (or the complete subgraph induced by that set). Sometimes a clique is defined as a maximal set ...
In the mathematical area of graph theory, a triangle-free graph is an undirected graph in which no three vertices form a triangle of edges. Triangle-free graphs may be equivalently defined as graphs with clique number ≤ 2, graphs with girth ≥ 4, graphs with no induced 3-cycle , or locally independent graphs.
Jablonski diagram, diagram that illustrates the electronic states of a molecule and the transitions between them Jablonski by Pahls v. United States , a landmark court case that helped to define the ethical duties of mental health professionals with respect to potentially violent individuals.