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This article is about Petri nets. For vertex-signed graphs, see signed graph.
A marked graph is a Petri net in which every place has exactly one incoming arc, and exactly one outgoing arc. This means, that there can not be conflict, but there can be concurrency. Mathematically: . Marked graphs are used mostly to mathematically represent concurrently running operations, such as a multiprocessor machine's internal process state. This class of Petri nets gets the name from a popular way of representing them: as a graph where each place is an edge and each transition is a node.
A markedgraph is a Petri net in which every place has exactly one incoming arc, and exactly one outgoing arc. This means, that there can not be conflict...
An augmented markedgraph is basically a Petri net with a specific set of places called resource places. If removing these resource places and their associated...
In the area of graph theory in mathematics, a signed graph is a graph in which each edge has a positive or negative sign. A signed graph is balanced if...
In the mathematical theory of directed graphs, a graph is said to be strongly connected if every vertex is reachable from every other vertex. The strongly...
computer science, graph traversal (also known as graph search) refers to the process of visiting (checking and/or updating) each vertex in a graph. Such traversals...
cartesian coordinate (rectangular) graph, and either a line graph or a bar graph. In polar form, the months of the year are marked around the circumference, forming...
class of discrete event dynamic system. A Petri net is a directed bipartite graph that has two types of elements: places and transitions. Place elements are...
A bond graph is a graphical representation of a physical dynamic system. It allows the conversion of the system into a state-space representation. It...
The following figure shows examples of edge coverings in two graphs (the set C is marked with red). A minimum edge covering is an edge covering of smallest...
As applied in the field of computer vision, graph cut optimization can be employed to efficiently solve a wide variety of low-level computer vision problems...
joins points of equal value. It is a plane section of the three-dimensional graph of the function f ( x , y ) {\displaystyle f(x,y)} parallel to the ( x ...
In graph theory, a vertex cover (sometimes node cover) of a graph is a set of vertices that includes at least one endpoint of every edge of the graph. In...
mathematical field of graph theory, a quartic graph is a graph where all vertices have degree 4. In other words, a quartic graph is a 4-regular graph. Several well-known...
Graph of the function 3x3-5x2+8 (black) and its first (9x2-10x, red) and second (18x-10, blue) derivatives. An x value where the y value of the red, or...
whereas some structural methods require that the underlying Petri net is a markedgraph or a free-choice net. One of the key well-known problems in the synthesis...
finding a marked node in a graph. The concept of a quantum walk is inspired by classical random walks, in which a walker moves randomly through a graph or lattice...
President on 1 December. At the same time, the southern state of Oaxaca was marked by severe civil unrest during 2006 after a teachers' strike was violently...
continuous functions). Objects studied in discrete mathematics include integers, graphs, and statements in logic. By contrast, discrete mathematics excludes topics...
polyhedra and tilings with vertex figure 3.3.4.3.n. In graph theory, a snub cubical graph is the graph of vertices and edges of the snub cube, one of the...
tree is a subset of the edges of a connected, edge-weighted undirected graph that connects all the vertices together, without any cycles and with the...
data structures used by NoSQL databases (e.g. key–value pair, wide column, graph, or document) are different from those used by default in relational databases...
In graph theory, a pseudoforest is an undirected graph in which every connected component has at most one cycle. That is, it is a system of vertices and...
zeros are the x {\displaystyle x} -coordinates of the points where its graph meets the x-axis. An alternative name for such a point ( x , 0 ) {\displaystyle...