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- Falk Schreiber, Konstantin Skodinis
- Graph Drawing
- 1998

A graph is a tree of paths (cycles), if its vertex set can be partitioned into clusters, such that each cluster induces a simple path (cycle), and the clusters form a tree. Our main result states that the problem whether or not a given graph is a tree of paths (cycles) is NP-complete. Moreover, if the length of the paths (cycles) is bounded by a constant,… (More)

- Konstantin Skodinis
- J. Algorithms
- 2003

- Konstantin Skodinis
- ESA
- 2000

We present a linear time algorithm for computing linear layouts of trees which are optimal with respect to vertex separation. The best algorithm known so far is given by 7] and needs O(n log n) time. Our result solves several other related open problems on trees as for example the one of 17].

- Konstantin Skodinis, Egon Wanke
- Inf. Comput.
- 1997

- Konstantin Skodinis, Egon Wanke
- J. Comput. Syst. Sci.
- 1995

We consider the complexity of the emptiness problem for various classes of graph languages deened by eNCE (edge label neighborhood controlled embedding) graph grammars. In particular, we show that the emptiness problem is undecidable for general eNCE graph grammars, DEXPTIME-complete for connuent and boundary eNCE graph grammars, PSPACE-complete for linear… (More)

We introduce graph automata as devices for the recognition of linear graph languages. A graph automaton is the canonical extension of a nite state automaton recognizing a set of connected labeled graphs. It consists of a nite state control and a collection of heads, which search the input graph. In a move the graph automaton reads a new subgraph, checks… (More)

- Franz-Josef Brandenburg, Konstantin Skodinis
- Theor. Comput. Sci.
- 2005

- Konstantin Skodinis, Egon Wanke
- WG
- 1994

eNCE (edge label neighborhood controlled) graph grammars belong to the most powerful graph rewriting systems with single-node graphs on the left-hand side of the productions. From an algorithmic point of view, connuent and boundary eNCE graph grammars are the most interesting subclasses of eNCE graph grammars. In connuent eNCE graph grammars, the order in… (More)

- Konstantin Skodinis
- WG
- 1999

We consider the class £ of graphs whose minimal separators have a fixed bounded size. We give an Ç´ÒÑµ-time algorithm computing an optimal tree-decomposition of every graph in £ with Ò vertices and Ñ edges. Furthermore we make evident that many NP-complete problems are solvable in polynomial time when restricted to this class. Both claims hold although £… (More)

- Konstantin Skodinis, Egon Wanke
- J. Comput. Syst. Sci.
- 2002