acyclic
Adjective
Meaning
having an open chain structure
not cyclic; especially having parts arranged in spirals rather than whorls
Source: WordNetSynonyms
Antonyms
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Examples
A monosaccharide can switch from the acyclic (open-chain) form to a cyclic form, through a nucleophilic addition reaction between the carbonyl group and one of the hydroxyls of the same molecule.
An upward planar graph is a directed acyclic graph that can be drawn in the plane with its edges as non-crossing curves that are consistently oriented in an upward direction.
Conversion between the furanose, acyclic, and pyranose forms of D-glucose.
Equivalently, a forest is an undirected acyclic graph.
However, specialized cases (such as bounded/integer weights, directed acyclic graphs etc.) can indeed be improved further as detailed in main.
In reality the structure is more complicated, forming a directed acyclic graph, but for many purposes "tree with merges" is an adequate approximation.