A rooted bifurcating tree has exactly two descendants arising from each interior node ( that is, it forms a binary tree ), and an unrooted bifurcating tree takes the form of an unrooted binary tree, a free tree with exactly three neighbors at each internal node.

( A rooted binary tree is full if every vertex has either two children or no children.

However, exploring all n nodes of the tree in this manner would use each link exactly twice: one traversal to enter the subtree rooted at that node, and another to leave that node's subtree after having explored it.

There is at most one root node in a rooted tree.

A ( rooted ) tree with only one node ( the root ) has a depth of zero.

She tried to run away, but the blood of the tree had touched her skin and she found her feet rooted to the spot.

The Hungarian ethnomusicologist Bence Szabolcsi explained this motivation as follows: " Hungarians are the outermost branch leaning this way from age-old tree of the great Asian musical culture rooted in the souls of a variety of peoples living from China through Central Asia to the Black Sea ".

Abstractly, a hierarchy can be modelled mathematically as a rooted tree: the root of the tree forms the top level, and the children of a given vertex are at the same level, below their common parent.

She is hesitant, but accepts him when he mentions that their bed was made from an olive tree still rooted to the ground.

* 1994 US Patent 5, 282, 222 for wireless data transmission-The patent " tree " rooted on this patent has upwards of 20, 000 nodes and leaves references.

* The automorphism group of a locally finite rooted tree is profinite.

The result is a tree rooted at the current node such that the path through the tree from the root to any other node is the least-cost path to that node.

Notice that the right child of a left child of the root of a sub-tree ( for example node B in the diagram for the tree rooted at Q ) can become the left child of the root, that itself becomes the right child of the " new " root in the rotated sub-tree, without violating either of those constraints.

This tree is rooted at the entry block.

This tree is rooted at the exit block.

A tree is called a rooted tree if one vertex has been designated the root, in which case the edges have a natural orientation, towards or away from the root.

A rooted tree which is a subgraph of some graph G is a normal tree if the ends of every edge in G are comparable in this tree-order whenever those ends are vertices of the tree.

In a rooted tree, the parent of a vertex is the vertex connected to it on the path to the root ; every vertex except the root has a unique parent.

The vertices of a labeled tree on n vertices are typically given the labels 1, 2, …, n. A recursive tree is a labeled rooted tree where the vertex labels respect the tree order ( i. e., if u < v for two vertices u and v, then the label of u is smaller than the label of v ).

Rather it is rooted in a difference of response to the threat of social disintegration.

Its massive contours are rooted in the simple need of man, since he is always incomplete, to complete himself.

Reaction is rooted in a perception of tradition as a whole.

But Impressionism, and through it almost all of 20th century art, is also firmly rooted in the Romantic tradition.

It reflected Alfred's own belief in a doctrine of divine rewards and punishments rooted in a vision of a hierarchical Christian world order in which God is the Lord to whom kings owe obedience and through whom they derive their authority over their followers.

The theology of the creed is firmly rooted in the Augustinian tradition, using exact terminology of Augustine's On the Trinity ( published 415 AD ).

This work is rooted in the thesis that Judaism is a religion of time, not space, and that the Sabbath symbolizes the sanctification of time.

Barbadian law is rooted historically on English common law, and the Constitution of Barbados implemented in 1966, is supreme law of the land.

Although its author is unknown, its themes and subject matter are rooted in Germanic heroic poetry, in Anglo-Saxon tradition recited and cultivated by Old English poets called scops.

Modern taxonomy is rooted in the work of Carolus Linnaeus, who grouped species according to shared physical characteristics.

The number of molars and premolars is variable between carnivoran species, but all teeth are deeply rooted and are diphyodont.

Where a tort is rooted in common law, all traditionally recognized damages for that tort may be sued for, whether or not there is mention of those damages in the current statutory law.

Another type of chervil is grown as a root vegetable, sometimes called turnip rooted chervil or tuberous-rooted chervil.

The depiction of comets in popular culture is firmly rooted in the long Western tradition of seeing comets as harbingers of doom and as omens of world-altering change.

In the United States, conservatism is rooted in the American Revolution and its commitment to conserve the rights and liberties of Englishmen.

Antisemitism has been described as primarily hatred against Jews as a race with its modern expression rooted in 19th century racial theories, while anti-Judaism is described as hostility to Jewish religion, but in Western Christianity it effectively merged into antisemitism during the 12th century.

The position that " Christian theological anti-Judaism is a phenomenon distinct from modern antisemitism, which is rooted in economic and racial thought, so that Christian teachings should not be held responsible for antisemitism " has been articulated, among other places, by Pope John Paul II in ' We Re member: A Reflection on the Shoah ,' and the Jewish declaration on Christianity, Dabru Emet .. Several scholars, including Susannah Heschel, Gavin I Langmuir and Uriel Tal the General Synod has affirmed that " the good news of salvation in Jesus Christ is for all and must be shared with all including people from other faiths or of no faith and that to do anything else would be to institutionalize discrimination ".

The word play on λόγος and αλόγον is characteristic of Clement's writing, and may be rooted in the Epicurean belief that relationships between words are deeply reflective of relationships between the objects they signify.

Levine also noted that the victory " gave encouragement to isolationist and conservative strains that were deeply rooted in Ethiopian culture, strengthening the hand of those who would strive to keep Ethiopia from adopting techniques imported from the modern West-resistances with which both Menelik and Ras Teferi / Haile Selassie would have to contend "

Coupled with the more diffuse political structure based on smaller feudal units, various legal traditions emerged, remaining more strongly rooted in Roman jurisprudence, but modified to meet the prevailing political climate.

Many were seen as reflections of broad underlying conflicts or maladaptive reactions to life problems, rooted in a distinction between neurosis and psychosis ( roughly, anxiety / depression broadly in touch with reality, or hallucinations / delusions appearing disconnected from reality ).

Most early discussions of diaspora were firmly rooted in a conceptual ' homeland '; they were concerned with a paradigmatic case, or a small number of core cases.

A major work of research and synthesis, the book was also important in historiographical terms: with it, Thompson demonstrated the power of an historical Marxism rooted in the experience of real flesh-and-blood workers.

Finkelstein states that his consciousness of " the Nazi holocaust " is rooted in his parents ' experiences in the Warsaw ghetto ; with the exception of his parents themselves, " every family member on both sides was exterminated by the Nazis ".

Osawa intended to make Kid Icarus an action game with role-playing elements, and wrote a story rooted in Greek mythology, which he had always been fond of.

The rivalry with Liverpool is rooted in competition between the cities during the Industrial Revolution when Manchester was famous for its textile industry while Liverpool was a major port.

Microlith production generally declined following the introduction of agriculture ( 8000 BCE ) but continued later in cultures with a deeply rooted hunting tradition.

Nymphs are personifications of the creative and fostering activities of nature, most often identified with the life-giving outflow of springs: as Walter Burkert ( Burkert 1985: III. 3. 3 ) remarks, " The idea that rivers are gods and springs divine nymphs is deeply rooted not only in poetry but in belief and ritual ; the worship of these deities is limited only by the fact that they are inseparably identified with a specific locality.

Even the idea and concept behind the Ampera was rooted in Opel with Frank Weber, the former " Global Vehicle Line Executive and Global Chief Engineer electric vehicle development ," being originally an Opel employee who was moved to the USA in order to advance the development of this concept in GM's home country instead of the German outpost that is Opel.

Several of these bands rooted in anarcho-punk such as The Varukers, Discharge, and Amebix, along with former Oi!

Tabonuco trees are especially large on ridges, where they are firmly rooted in the rocky substrate and connected by root grafts with each other.

The Feminists held a more idealistic, psychologistic, and utopian philosophy, with a greater emphasis on " sex roles ", seeing sexism as rooted in " complementary patterns of male and female behavior ".

Passive homosexuality was intolerable to the patient because it was associated with castration, but it was deeply rooted in his psychology because “ submission and obedience to the father as their aim the right to take his place .”

And the heliocentric theory, which assigned central status to the Sun, as well as Newton's concept of force acting at a distance, were rooted in ancient Egyptian religious ideas associated with Hermeticism.

This view of the scientific revolution reduces it to a period of relearning classical ideas that is very much an extension of the renaissance, specifically relearning ideas that originated with somebody other than Aristotle and particularly those rooted in the schools of Plato and Pythagoras.

Similarly, most of the traditions associated with monarchy of the United Kingdom, seen as rooted deep in history, actually date to 19th century.

The right rotation operation as shown in the image above is performed with Q as the root and hence is a right rotation on, or rooted at, Q.

White supremacy, as with racial supremacism in general, is rooted in ethnocentrism and a desire for hegemony and power,