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Author

L. Tunçel

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Open access Oct 2026

Stable Set Polytopes with Rank |V(G)|/3 for the Lovász–Schrijver SDP Operator

We study the lift-and-project rank of the stable set polytope of graphs with respect to the Lovász-Schrijver SDP operator [Formula: see text] applied to the fractional stable set polytope. In particular, we show that for every positive integer [Formula: see text], the smallest possible graph with [Formula: see text]-ra...

Y. Au, L. Tunçel · 0 citations
Preprint Sep 2026

On some k-fold generalizations of Lov\'asz theta and their sandwich theorems

We study several $k$-fold generalizations of the Lov\'asz theta function associated with the maximum $k$-colorable induced subgraph problem. The first is the Narasimhan--Manber parameter $\vartheta_k$. We prove that, for graphs whose adjacency matrix belongs to a homogeneous partially coherent algebra, this parameter i...

Marcel K. Carli Silva, Gabriel Coutinho, Thiago Oliveira et al. · 0 citations

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