Analysis and Operator Theory Seminar - Nobuaki Obata

January 8, 2018
Tuesday, January 16, 2018 - 10:30am to 11:30am
Cockins Hall 240
math_sculpture

Title: Distance matrices and quadratc embedding of graphs

Speaker: Nobuaki Obata (Tohoku University)

Abstract: A finite or infinite connected graph is said to be of QE class if it admits a quadratic embedding in an Euclidean or Hilbert space, or equivalently, if the distance matrix is conditionally negative definite. As a quantitative approach, we introduce a new characteristic of a graph called the QE constant. We discuss some basic properties of QE constants, concrete examples and some questions relevant to the distance spectra.

 

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