Cycles in weighted graphs and related topics


Zhang, Shenggui (2002) Cycles in weighted graphs and related topics. thesis.

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Abstract:This thesis contains results on paths andcycles in graphs andon a more
or less relatedtopic, the vulnerability of graphs. In the first part of
the thesis, Chapters 2 through 5, we concentrate on paths andcycles
in weightedgraphs. A number of sufficient conditions are presentedfor
graphs to contain paths andcycles with certain properties, in particular
heavy (or long) paths andcycles. The secondpart of the thesis, Chapters
6 and7, contains some basic results on paths andcycles in (edge-) colored
graphs. In the thirdpart of the thesis, Chapters 8 and9, we focus on
a graph parameter which can be usedto analyze the vulnerability of
graphs, i.e., the scattering number of graphs.
Item Type:Thesis
Electrical Engineering, Mathematics and Computer Science (EEMCS)
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Metis ID: 207979