RUS  ENG
Full version
JOURNALS // Problemy Upravleniya // Archive

Probl. Upr., 2010 Issue 1, Pages 2–6 (Mi pu1)

Mathematical problems of control theory

On the problem of enumeration of generating graphs with specified diameter

D. L. Belotserkovskii

Gubkin Russian State University of Oil and Gas

Abstract: The paper proves the theorem of enumeration of graphs in which after removing an arbitrary vertex or edge the diameter of the graph obtained does not exceed three.

Keywords: graph, degree of vertex, adjacency, Handshake's lemma, diameter, minimal number of edges, operation of duplication.

UDC: 519.176



© Steklov Math. Inst. of RAS, 2025