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1. On the solvability of boundary-value problems for parabolic and hyperbolic equations on geometrical graphs.

Author

Volkova, A., Gnilitskaya, Yu., and Provotorov, V.

Subjects
BOUNDARY value problems, PARABOLIC differential equations, HYPERBOLIC differential equations, GRAPH theory, PROBLEM solving
Abstract

This paper studies generalized solutions of boundary-value problems for parabolic and hyperbolic equations on an arbitrary geometrical graph. Finally, the one-valued solvability conditions are established for these problems. [ABSTRACT FROM AUTHOR]

Published
2014
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2. The topological drawing of a graph: Construction methods.

Author

Kurapov, S. V. and Tolok, A. V.

Subjects
TOPOLOGY, GRAPH theory, ALGORITHMS, INFORMATION theory, PROBLEM solving, GEOMETRIC analysis
Abstract

This paper considers construction algorithms for the topological 2-D drawing of a graph. These algorithms allow to store, describe and modify the existing information on the drawing of a graph. Finally, we introduce necessary notions and structures to solve the problem of the topological 2-D drawing of a graph. [ABSTRACT FROM AUTHOR]

Published
2013
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