21 citations · 73 across the 9 of their papers we have counts for
4 papers · 1 filter
Integral circulant graphs of prime power order with maximal energy
Jürgen W. Sander, Torsten Sander
The energy of a graph is the sum of the moduli of the eigenvalues of its adjacency matrix. We study the energy of integral circulant graphs, also called gcd graphs, which can be ch…
On the eigenvalues of distance powers of circuits
Jürgen W. Sander, Torsten Sander
Taking the d-th distance power of a graph, one adds edges between all pairs of vertices of that graph whose distance is at most d. It is shown that only the numbers -3, -2, -1, 0,…
Tree Decomposition By Eigenvectors
Torsten Sander, Jürgen W. Sander
In this work a composition-decomposition technique is presented that correlates tree eigenvectors with certain eigenvectors of an associated so-called skeleton forest. In particula…
The exact maximal energy of integral circulant graphs with prime power order
J. W. Sander, T. Sander
The energy of a graph was introduced by {\sc Gutman} in 1978 as the sum of the absolute values of the eigenvalues of its adjacency matrix. We study the energy of integral circulant…