##  [Graded Lexicographic Order](/graded-lexicographic-order) 

  ##  [Graded Lexicographic Order](https://algebra.quantumdictionary.io/graded-lexicographic-order-0) 

  

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- Pure Mathematics -

**Algebra Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A monomial order that first compares total degree (sum of exponents) and, when total degrees coincide, breaks ties lexicographically according to a chosen variable ordering. It balances degree-based prioritization with a deterministic lexicographic tie-break.