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Analysis and Operator Theory Seminar - Nobuaki Obata

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January 16, 2018
10:30AM - 11:30AM
Cockins Hall 240

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Add to Calendar 2018-01-16 10:30:00 2018-01-16 11:30:00 Analysis and Operator Theory Seminar - Nobuaki Obata Title: Distance matrices and quadratc embedding of graphsSpeaker: 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.  Cockins Hall 240 Department of Mathematics math@osu.edu America/New_York public

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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