Objective A number of special graph classes will be investigated. These classes include: line graphs of hypergraphs with prescribed properties; topological graphs; hereditary graph classes defined by prescribed relations between some invariants; locally defined classes.The realization of the investigation should lead to the solution of some open problems in graph theory, to new methods of identification and analysis of promising classes of graph (hypergraph) and to the construction of new efficient algorithms.It is supposed to investigate topological graphs with rectilinear embeddings of edges. An important question under consideration is to select plane subgraphs with given properties.The following version of the well-known Trahtenbrot and Zykov problem (1963) will be considered. Given a graph-theoretic property P, is there a connected graph in which all vertex neighbourhoods induce a subgraph with the property P? For certain special properties P, the complete lists of P-local classes will be obtained.Eulerian graphs form an important class of locally characterizable graphs. These graphs and their plane embeddings will be investigated in structural, enumerative and algorithmic aspects.It is planned to investigate properties of graphs from the above classes, to construct efficient algorithms for solving some classical problems and to estimate the computational complexity of the membership recognition problem for these classes. Special attention will be paid to the existence of Hamiltonian circuits and constructing them efficiently.The following main results are expected:solution of the characterization and reconstructability problems for the class of line graphs of linear r-uniform hypergraphs (in particular, solution of a problem of L.Lovasz on characterizations of line graphs of 3-uniform hypergraphs) under some reasonable restrictions;description of a number of topological graph classes admitting efficient algorithms for constructing subgraphs with prescribed properties;characterizations of a number of perfect graph classes;constructing new classes of strongly perfect graphs;algorithms of recognizing the P4-structures of graphs with prescribed properties;general methods of characterizing hereditary graph classes;solution methods of the profile problem and other arrangement problems for some graph classes;some methods of solving NP-hard problems for hereditary graph classes;solution of a version of the Trahtenbrot and Zykov problem;systematic description of enumeration methods for Eulerian graphs and maps;locally sufficient conditions for Hamiltonicity. Programme(s) IC-INTAS - International Association for the promotion of cooperation with scientists from the independent states of the former Soviet Union (INTAS), 1993- Topic(s) 2 - Mathematics, Telecommunications, Information Technologies BELARUS - BELARUS Call for proposal Data not available Funding Scheme Data not available Coordinator Universitat Rostock EU contribution No data Address Albert-Einstein-Str. 21 18051 Rostock Germany See on map Total cost No data Participants (4) Sort alphabetically Sort by EU Contribution Expand all Collapse all Austrian Academy of Sciences Austria EU contribution No data Address Sonnenfelsgasse 19 1010 Wien See on map Total cost No data Belarus State University Belarus EU contribution No data Address Skorina prospekt, 4 220050 Minsk See on map Total cost No data National Academy of Sciences of Belarus Belarus EU contribution No data Address Surganova str. 11 220072 Minsk See on map Total cost No data University of Amiens France EU contribution No data Address LaRIA, 5 rue du Moulin Neuf 80000 Amiens See on map Total cost No data