The Software for Constructing Trails with Local Restrictions in Graphs

Tatyana Panyukova, Igor Alferov

Department of Mathematical Methods in Economics and Statistics, South Ural State University, Chelyabinsk, Russian Federation.

DOI: 10.4236/ojdm.2013.32017                

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.

Keywords

Eulerian Graph; Trail; Transition; Compatible Path; Algorithm

Conflicts of Interest

The authors declare no conflicts of interest.

References

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