𝔖 Bobbio Scriptorium
✦   LIBER   ✦

New results on the energy of integral circulant graphs

✍ Scribed by Aleksandar Ilić; Milan Bašić


Book ID
113439808
Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
271 KB
Volume
218
Category
Article
ISSN
0096-3003

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


Distance spectra and distance energy of
✍ Aleksandar Ilić 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 189 KB

The distance energy of a graph G is a recently developed energy-type invariant, defined as the sum of absolute values of the eigenvalues of the distance matrix of G. There was a vast research for the pairs and families of non-cospectral graphs having equal distance energy, and most of these construc

On the chromatic number of integral circ
✍ Aleksandar Ilić; Milan Bašić 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 395 KB

Integral circulant graphs are a generalization of unitary Cayley graphs, recently studied by Klotz and Sander. The integral circulant graph X n (D) has vertices 0, 1, . . . , n -1, and two vertices a and b are adjacent iff gcd(xy, n) ∈ D, where D ⊆ {d : Circulant graphs have various applications in

On the average energy of circulant graph
✍ Simon R. Blackburn; Igor E. Shparlinski 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 122 KB

We obtain upper and lower bounds on the average energy of circulant graphs with n vertices and regularity d. The average is taken over all representations of such graphs by circulant adjacency matrices.