2 papers
math.CO2026
The Sharp Even-Size Spectral Threshold for -Free Graphs
Shreyhaan Sarkar
We determine the sharp even-size threshold for the fixed-size spectral extremal problem forbidding , the graph obtained by identifying one vertex of a -cycle with one ve…
math.CO2026
Visibility cliques, cubic containers, and dense orchard cores
Sohail Sarkar
The Big-Line-Big-Clique Conjecture of Kara, Por and Wood asserts that, for every fixed and , every sufficiently large finite planar point set contains either collinea…