English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

The energy E(G) of a graph G is the sum of the absolute values of the eigenvalues of G. Bapat and Pati (Bull. Kerala Math. Assoc., 1 (2004) 129-132) proved that (a) E(G) is never an odd integer. We now show that (b) E(G) is never the square root of an odd integer. Furthermore, if r and s are integers such that r ≥ 1 and 0 ≤ s ≤ r - 1 and q is an odd integer, then E(G) cannot be of the form (2s q)1/r, a result that implies both (a) and (b) as special cases.

Energy of a graph is never the square root of an odd integer