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Full-Text Articles in Physical Sciences and Mathematics
How To Pick Out The Integers In The Rationals: An Application Of Number Theory To Logic, Daniel Flath, Stan Wagon
How To Pick Out The Integers In The Rationals: An Application Of Number Theory To Logic, Daniel Flath, Stan Wagon
Stan Wagon, Retired
No abstract provided.
Linear Algebra By Analogy, Scott H. Hochwald
Reductions Of Graphs And Spanning Eulerian Subgraphs, Zhi-Hong Chen
Reductions Of Graphs And Spanning Eulerian Subgraphs, Zhi-Hong Chen
Zhi-Hong Chen
This dissertation is primarily focused on conditions for the existence of spanning closed trails in graphs. However, results in my dissertation and the method we used, which was invented by Catlin, are not only useful for finding spanning closed trails in graphs, but also useful to study double cycle cover problems, hamiltonian line graphs problems, and dominating closed trail problems, etc. A graph is called supereulerian if it contains a spanning closed trail. Several, people have worked on the conditions for spanning closed trails having the form "d(u) + d(v) $>$ cn (0 $<$ c $<$ 1)" for all edge …