T. A. Panyukova, “The Paths with Local Restrictions,” Reports of South Ural State University. Section: Mathematical Modelling and Programming, Vol. 5, No. 16, 2010, pp. 58-67 (in Russian).

has been cited by the following article:

• TITLE: The Software for Constructing Trails with Local Restrictions in Graphs

  AUTHORS: Tatyana Panyukova, Igor Alferov

  KEYWORDS: Eulerian Graph; Trail; Transition; Compatible Path; Algorithm

  JOURNAL NAME: Open Journal of Discrete Mathematics, Vol.3 No.2, April 29, 2013

  ABSTRACT: The present research considers the problem of covering a graph with minimal number of trails satisfying the pre-defined local restrictions. The research is devoted to the problem of graph covering by minimal number of trails satisfying some local restrictions. Algotithm of allowed Eulerian cycle construction is considered. The authors showed that it is possible to recognize the system of transitions and solve the problem of constructing the allowable path by linear time. It’s also possible to find allowable Eulerian cycle for Eulerian graph or to proclaim that such a cycle does not exist by the time O(｜V(G)｜.｜E(G)｜). All presented algorithms have the software realization.