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URL:https://uwaterloo.ca/combinatorics-and-optimization/events/graphs-and-m
 atroids-aristotelis-chaniotis
SUMMARY:Graphs and Matroids - Aristotelis Chaniotis
CLASS:PUBLIC
DESCRIPTION:TITLE: Intersections of graphs and χ-boundedness: Interval gra
 phs\,\nchordal graphs\, and χ-guarding graph classes \n\nSPEAKER:\n Arist
 otelis Chaniotis\n\nAFFILIATION:\n University of Waterloo\n\nLOCATION:\n M
 C 5417\n\nABSTRACT: Following A. Gyárfás (1987)\, we say that a heredita
 ry\nclass of graphs is χ-bounded if there exists a function which\nprovid
 es an upper bound for the chromatic number of each graph of the\nclass in 
 terms of the graph's clique number. In this terminology\, E.\nAsplund and 
 B.Grünbaum (1960)\,  motivated by a question of A.\nBielecski (1948)\, p
 roved that the class of intersection graphs of axis\nparallel rectangles i
 s χ-bounded\, and J. P. Burling\, in his Ph.D.\nthesis (1965)\, proved th
 at the class of intersection graphs of axis\nparallel boxes in R^3 is not 
 χ-bounded.
DTSTAMP:20260404T105805Z
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