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Traces of term-automatic graphs

Antoine Meyer (2008)

RAIRO - Theoretical Informatics and Applications

In formal language theory, many families of languages are defined using either grammars or finite acceptors. For instance, context-sensitive languages are the languages generated by growing grammars, or equivalently those accepted by Turing machines whose work tape's size is proportional to that of their input. A few years ago, a new characterisation of context-sensitive languages as the sets of traces, or path labels, of rational graphs (infinite graphs defined by sets of finite-state...

Track layouts of graphs.

Dujmović, Vida, Pór, Attila, Wood, David R. (2004)

Discrete Mathematics and Theoretical Computer Science. DMTCS [electronic only]

Two linear time algorithms for MST on minor closed graph classes

Martin Mareš (2004)

Archivum Mathematicum

This article presents two simple deterministic algorithms for finding the Minimum Spanning Tree in O ( | V | + | E | ) time for any non-trivial class of graphs closed on graph minors. This applies in particular to planar graphs and graphs of bounded genus. Both algorithms run on a pointer machine and they require no a priori knowledge of the structure of the class except for its density. Edge weights are only compared.

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