Citation Rowlinson P (1993) Eutactic stars and graph spectra. In: Brualdi R, Friedland S & Klee V (eds.) Combinatorial and Graph-Theoretical Problems in Linear Algebra. The IMA Volumes in Mathematics and its Applications, 50. New York: Springer, pp. 153-164. http://link.springer.com/chapter/10.1007/978-1-4613-8354-3_6#
Abstract The eutactic stars to be considered arise naturally from the spectral decomposition of an adjacency matrix of a graph. The role of these stars is discussed in relation to (i) local modifications of graphs, (ii) the construction of star partitions of a graph. Some exploratory results relate these star partitions to the structure of the underlying graph.
Title of series
The IMA Volumes in Mathematics and its Applications