2 citations · 4 across the 12 of their papers we have counts for
6 papers · 1 filter
On uniquely colorable Cayley graphs
Milan Bašić
We resolve two open problems regarding uniquely colorable Cayley graphs posed by Klotz and Sander (2017). First, we construct an infinite family of uniquely 3-colorable integral ci…
The least eigenvalues of integral circulant graphs
Milan Basic
The integral circulant graph has the vertex set , where vertices and are adjacent if , with $D \subseteq \{d…
Graphs with three and four distinct eigenvalues based on circulants
Milan Bašić
In this paper, we aim to address the open questions raised in various recent papers regarding characterization of circulant graphs with three or four distinct eigenvalues in their…
Maximal diameter of integral circulant graphs
Milan Bašić, Aleksandar Ilić, Aleksandar Stamenković
Integral circulant graphs are proposed as models for quantum spin networks that permit a quantum phenomenon called perfect state transfer. Specifically, it is important to know how…
On the clique number of integral circulant graphs
Milan Bašić, Aleksandar Ilić
The concept of gcd-graphs is introduced by Klotz and Sander, which arises as a generalization of unitary Cayley graphs. The gcd-graph has vertices …
New results on the energy of integral circulant graphs
Aleksandar Ilic, Milan Basic
Circulant graphs are an important class of interconnection networks in parallel and distributed computing. Integral circulant graphs play an important role in modeling quantum spin…