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Part of book or chapter of book . 2000 . Peer-reviewed
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Traversing Graphs: The Eulerian and Hamiltonian Theme

descriptionPublicationkeyboard_double_arrow_right Part of book or chapter of book , Other literature type 01 Jan 2000 English Publisher:Springer US
Authors: Herbert Fleischner;

doi: 10.1007/978-1-4615-4495-1_2

Traversing Graphs: The Eulerian and Hamiltonian Theme

Abstract

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. 3. Eulerian Graphs and Covering Walks, Cycle Decompositions and Cycle Covers. 4. Hamiltonian Cycles and Vertex-Covering Walks. 5. Elements of Matching Theory. 6. The Chinese Postman Problem, The Traveling Salesman Problem, and Related Problems. 7. Elements of Network Theory.

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
5
Average
Average
Average
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