UNIQUELY - meaning and definition. What is UNIQUELY
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What (who) is UNIQUELY - definition

GRAPH WITH ONLY ONE POSSIBLE COLORING
Uniquely edge-colorable graph; Uniquely total colorable graph
  • The unique 3-edge-coloring of the [[generalized Petersen graph]] ''G''(9,2)

uniquely      
see unique
Uniquely colorable graph         
In graph theory, a uniquely colorable graph is a -chromatic graph that has only one possible (proper) -coloring up to permutation of the colors. Equivalently, there is only one way to partition its vertices into independent sets and there is no way to partition them into independent sets.
unique         
WIKIMEDIA DISAMBIGUATION PAGE
Unique (album); Unique (disambiguation)
¦ adjective
1. being the only one of its kind; unlike anything else.
(unique to) belonging or connected to (one particular person, place, or thing).
2. special or unusual.
Derivatives
uniquely adverb
uniqueness noun
Origin
C17: from Fr., from L. unicus, from unus 'one'.
Usage
Strictly speaking, since the core meaning of unique is 'being the only one of its kind', it is logically impossible to modify it by adverbs such as really or quite. However, unique has a less precise sense in addition to its main meaning: 'special or unusual' (a really unique opportunity). Here, unique does not relate to an absolute concept, and so the use of really and similar adverbs is acceptable.

Wikipedia

Uniquely colorable graph

In graph theory, a uniquely colorable graph is a k-chromatic graph that has only one possible (proper) k-coloring up to permutation of the colors. Equivalently, there is only one way to partition its vertices into k independent sets and there is no way to partition them into k − 1 independent sets.

Examples of use of UNIQUELY
1. Islam is promoted as uniquely evil, or uniquely backward.
2. There must be some reason why the British far–left manages to satisfy itself with a uniquely public, uniquely self–congratulatory form of ideological self–abuse.
3. Louis suburb and produced a uniquely tense campaign.
4. The report is not, therefore, a uniquely authoritative one.
5. Even our capacity for self–loathing is uniquely human.