in-tree. A rooted tree itself has been defined by some authors as a directed graph. A rooted forest is a disjoint union of rooted trees. A rooted forest may...

in graph theory, a rooted graph is a graph in which one vertex has been distinguished as the root. Both directed and undirected versions of rooted graphs...

In mathematical graph theory, the rooted product of a graph G and a rooted graph H is defined as follows: take |V(G)| copies of H, and for every vertex...

weighted directed graphs where two nodes are distinguished, a source and a sink. Rooted directed graphs (also known as flow graphs) are digraphs in which...

Appendix:Glossary of graph theory in Wiktionary, the free dictionary. This is a glossary of graph theory. Graph theory is the study of graphs, systems of nodes...

is thus the directed-graph form of a rooted tree, understood here as an undirected graph. An arborescence is also a directed rooted tree in which all edges...

operation (for unlabelled graphs), replacement product, zig-zag graph product; graph product based on other products: rooted graph product: it is an associative...

In the mathematical subfield of graph theory a level structure of a rooted graph is a partition of the vertices into subsets that have the same distance...

immediate dominator of N. This graph is a tree, since each block has a unique immediate dominator. This tree is rooted at the entry block. The dominator...

root of the rooted tree, etc. The notion of "graph isomorphism" allows us to distinguish graph properties inherent to the structures of graphs themselves...

Flow graph may refer to: Flow or rooted graph (graph theory), a graph in which a vertex has been distinguished as the root Control-flow graph (computer...

in a graph was described by Robert Tarjan in 1974. It performs the following steps: Find a spanning forest of G {\displaystyle G} Create a Rooted forest...

In graph theory, an Eulerian trail (or Eulerian path) is a trail in a finite graph that visits every edge exactly once (allowing for revisiting vertices)...

sequences of directed edges that can be added to an empty graph on n vertices to form from it a rooted tree; see Double counting (proof technique) § Counting...

graph edit distances between suitably constrained graphs. Likewise, graph edit distance is also a generalization of tree edit distance between rooted...

In graph theory, a cograph, or complement-reducible graph, or P4-free graph, is a graph that can be generated from the single-vertex graph K1 by complementation...

Graph drawing is an area of mathematics and computer science combining methods from geometric graph theory and information visualization to derive two-dimensional...

Bivariegated graph Cage (graph theory) Cayley graph Circle graph Clique graph Cograph Common graph Complement of a graph Complete graph Cubic graph Cycle graph De...

undirected, rather than directed graph, in which case a binary tree is an ordered, rooted tree. Some authors use rooted binary tree instead of binary tree...

factor is important structure of the space, see also graph theory: directionality of arcs tree rooted graph For example, the Vacuum World has a branching factor...

F(t)=t^{6}+t^{5}+2t^{4}+3t^{3}+2t^{2}+t+1.} These graphs are shown at the right. The set T3 of rooted ternary trees consists of rooted trees where every node (or non-leaf...

number of edges. If G is any n-vertex graph, then the rooted product of G with a one-edge graph (that is, the graph H formed by adding n new vertices to...

of graph theory, a spanning tree T of an undirected graph G is a subgraph that is a tree which includes all of the vertices of G. In general, a graph may...

be non-empty): A rooted tree with the "away from root" direction (a more narrow term is an "arborescence"), meaning: A directed graph, whose underlying...

strictly speaking a tree, but rather a more general graph, or a directed acyclic graph in the case of rooted networks. They are used to overcome some of the...

stalks. The last possible set of graphs that can be made are convergent ones, also known as arbitrarily rooted graphs. By using the fusion principle, we...

Blossom trees can be used to sample random planar graphs. A blossom tree is constructed from a rooted tree embedded in the plane by adding opening and...

Does a Moore graph with girth 5 and degree 57 exist? More unsolved problems in mathematics In graph theory, a Moore graph is a regular graph whose girth...

multitree may describe either of two equivalent structures: a directed acyclic graph (DAG) in which there is at most one directed path between any two vertices...

Therefore, permutation graphs are another subclass of comparability graphs. The trivially perfect graphs are the comparability graphs of rooted trees. Cographs...