DominatingIntegerPartitionQ[a,b]
yields True if integer partition a dominates integer partition b, that is, the sum of a size- prefix of a is no smaller than the sum of a size-
prefix of b for every
.


DominatingIntegerPartitionQ
DominatingIntegerPartitionQ[a,b]
yields True if integer partition a dominates integer partition b, that is, the sum of a size- prefix of a is no smaller than the sum of a size-
prefix of b for every
.
Details and Options
- To use DominatingIntegerPartitionQ, you first need to load the Combinatorica Package using Needs["Combinatorica`"].
See Also
Tech Notes
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Text
Wolfram Research (2012), DominatingIntegerPartitionQ, Wolfram Language function, https://reference.wolfram.com/language/Combinatorica/ref/DominatingIntegerPartitionQ.html.
CMS
Wolfram Language. 2012. "DominatingIntegerPartitionQ." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/Combinatorica/ref/DominatingIntegerPartitionQ.html.
APA
Wolfram Language. (2012). DominatingIntegerPartitionQ. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/Combinatorica/ref/DominatingIntegerPartitionQ.html
BibTeX
@misc{reference.wolfram_2025_dominatingintegerpartitionq, author="Wolfram Research", title="{DominatingIntegerPartitionQ}", year="2012", howpublished="\url{https://reference.wolfram.com/language/Combinatorica/ref/DominatingIntegerPartitionQ.html}", note=[Accessed: 09-August-2025]}
BibLaTeX
@online{reference.wolfram_2025_dominatingintegerpartitionq, organization={Wolfram Research}, title={DominatingIntegerPartitionQ}, year={2012}, url={https://reference.wolfram.com/language/Combinatorica/ref/DominatingIntegerPartitionQ.html}, note=[Accessed: 09-August-2025]}