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Graph theoretical logic of organic chemistry nomenclature: why Eulerian paths are better suited for aliphatic compounds versus Hamiltonian paths for benzenoids

Journal of Molecular Structure: THEOCHEM, 1999
Abstract The model selected in order to assign a canonical name to a molecule in organic chemistry usually uses a graph theoretical edge set joining carbon nodes. For aliphatic compounds the most efficient type nomenclature involves the concatenation of Eulerian paths.
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Traversing Graphs: The Eulerian and Hamiltonian Theme

2000
This chapter deals with basic graph theoretical concepts and then focuses on special topics which are — in their applications — of relevance to theoretical and practical problems in OR. Therefore, this chapter is structured as follows: 1. Basics of Graph Theory. 2. Connectivity, Menger’s Theorem, the Splitting Lemma, and Factors.
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Eulerian and Hamiltonian Graphs

2019
Gary Chartrand, Ping Zhang
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On hamiltonian line graphs of hypergraphs

Journal of Graph Theory, 2022
Xiaofeng Gu, Hong-Jian Lai, Sulin Song
exaly  

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