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Acyclic

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Acyclic can refer to:

in chemistry, a compound which is not cyclic
Cyclic compound
In organic chemistry, a cyclic compound is a compound in which a series of carbon atoms are connected to form a loop or ring. Benzene is a well known example...

, e.g. alkanes and acyclic aliphatic compounds
in mathematics
Mathematics
Mathematics is the science and study of quantity, structure, space, and change. Mathematicians seek out patterns, formulate new conjectures, and establish truth by rigorous deduction from appropriately chosen axioms and definitions....

:
- a graph without a cycle
  Cycle (graph theory)
  Cycle in graph theory and computer science has several meanings:* A closed walk, with repeated vertices allowed. See path ....
  
  , especially
  - a directed acyclic graph
    Directed acyclic graph
    In mathematics, a directed acyclic graph , is a directed graph with no . That is, it is formed by a collection of vertices and directed edges, each edge connecting one vertex to another, such that there is no way to start at some vertex v and follow a sequence of edges that eventually loops back to...
- a chain complex
  Chain complex
  In mathematics, chain complex and cochain complex are constructs originally used in the field of algebraic topology. They are algebraic means of representing the relationships between the cycles and boundaries in various dimensions of some "space". Here the "space" could be a topological space or...
  
  in which all reduced homology groups are zero