acyclic

Meanings

• A graph or network that does not contain any cycles is called acyclic.

  - "The transportation network of a city is acyclic."
  - "A rooted tree is an acyclic graph."

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Antonyms

cyclic

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Rhymes

Words rhyming with acyclic
anemic , hymnic , picnic , statistic.

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Variants

List of all variants of acyclic that leads to same result
acyclic

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Forms

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The term 'acyclic' can also be used to describe other types of structures or systems that do not have any recurring patterns or cycles. For example, in the field of biology, acyclic metabolic pathways are those that do not have any feedback loops or cyclic intermediates. In the field of physics, acyclic topological structures are those that do not have any closed loops or cycles. In the field of computer science, acyclic data structures are those that do not have any recursive structures or cycles. In the field of network engineering, acyclic network topologies are those that do not have any cycles or closed loops in their connectivity patterns.

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Etymology

origin and the way in which meanings have changed throughout history.

The term 'acyclic' is derived from the Greek words 'akys' meaning 'without a cycle' and 'logos' meaning 'word' or 'study'.

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Trivia

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1. Did you know that the term 'acyclic' comes from the Greek words 'akys' meaning 'without a cycle' and 'logos' meaning 'word' or 'study'.

2. Did you know that in mathematics, an acyclic permutation of a set is a permutation that can be written as a product of disjoint cycles, where each cycle is a permutation of some subset of the original set, and no element appears in more than one cycle. An acyclic permutation is also called a 'reduced permutation' or a 'connected permutation'.

3. Did you know that in computer science, an acyclic data structure is a data structure that does not contain any cycles or recursion. An acyclic data structure is often used to model relationships between different entities or objects in a system, where the absence of cycles or recursion is important for ensuring the correctness and efficiency of the system. Some common examples of acyclic data structures include binary trees, hash tables, and trie data structures.

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Related Concepts

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1. Directed graph: A directed graph is a graph where each edge has a direction, that is, a source vertex and a destination vertex. Directed graphs can be used to model relationships between different entities or objects where the direction of the relationship matters. For example, in the field of computer science, directed graphs are used to model the flow of data or control between different processing elements or modules in a computer system. In the field of network engineering, directed graphs are used to model the flow of data or traffic between different nodes or devices in a network. In the field of biology, directed graphs are used to model the flow of metabolites or energy between different metabolic pathways or organelles in a cell.

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Culture

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In literature and art, the concept of acyclic structures is often used to describe systems that do not have any recurring patterns or cycles. For example, in the field of computer science, acyclic graphs are commonly used to model relationships between different entities or objects. In mathematics, acyclic permutations are used to study the properties of certain groups or structures.

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