Proves that ex_hom(n,X) ≤ C n^{8/3} for every 2-complex X, improving the previous exponent 3-1/5.
Title resolution pending
3 Pith papers cite this work. Polarity classification is still indexing.
3
Pith papers citing it
fields
math.CO 3verdicts
UNVERDICTED 3representative citing papers
For large n, the maximum signless Laplacian spectral radius among n-vertex r-dimensional pure simplicial complexes without r-dimensional wheels is attained by specific extremal complexes, generalizing graph results and providing a spectral analogue of the Sós-Erdős-Brown theorem for r=2.
Authors identify the extremal simplicial complex for maximum signless Laplacian spectral radius without holes, bound it via Betti numbers, and derive Turán number bounds for hypergraphs and complexes using Alexander dual techniques.
citing papers explorer
-
An Improved Tur\'an Exponent for 2-Complexes
Proves that ex_hom(n,X) ≤ C n^{8/3} for every 2-complex X, improving the previous exponent 3-1/5.
-
Signless Laplacian spectral radius of simplicial complexes without $r$-dimensional wheels
For large n, the maximum signless Laplacian spectral radius among n-vertex r-dimensional pure simplicial complexes without r-dimensional wheels is attained by specific extremal complexes, generalizing graph results and providing a spectral analogue of the Sós-Erdős-Brown theorem for r=2.
-
Signless Laplacian spectral radius of simplicial complexes without holes
Authors identify the extremal simplicial complex for maximum signless Laplacian spectral radius without holes, bound it via Betti numbers, and derive Turán number bounds for hypergraphs and complexes using Alexander dual techniques.