On some characteristics of the multigraph arc coherence

Papers [1–3] present values of the greatest arc coherence $\lambda(p,q)$ and the smallest number $B(p,q)$ of the power cuts $\lambda(p,q)$ for $(p,q)$-multigraphs. The present paper states the complete corrected proof of the results from [3], which brings about obtaining the asymptotic values of probabilities of coherence of one class of random multigraphs.