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Author

Obinna Okechukwu

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Preprint Sep 2026

Clique partitions and bounded simplicial defect

The clique partition number of a graph is the minimum number of complete subgraphs whose edge sets partition its edge set. We study graphs in which, in every induced subgraph and outside every prescribed clique, some vertex has a neighbourhood that becomes a clique after deleting at most $s$ vertices. The case $s=0$ is...

Obinna Okechukwu · 0 citations
Preprint Sep 2026

Local decisions, diffusive influence, and lower bounds for graphical balanced allocation

In graphical two-choice allocation, each arriving ball is assigned to one endpoint of a random edge. We study rules whose decision is a monotone function of the two endpoint loads, allowing edge-dependent thresholds and fresh randomization. Such a rule has an exact unit-discrepancy coupling: adding one ball to the init...

Obinna Okechukwu · 0 citations

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