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Articles 58411 - 58440 of 5149668
Full-Text Articles in Entire DC Network
Therepairer_Vol26no4_April1921
Therepairer_Vol26no3_March1921
On The Extreme Complexity Of Certain Nearly Regular Graphs, Gregory P. Constantine, Gregory C. Magda
On The Extreme Complexity Of Certain Nearly Regular Graphs, Gregory P. Constantine, Gregory C. Magda
Theory & Applications of Graphs
The complexity of a graph is the number of its labeled spanning trees. It is demonstrated that the seven known triangle-free strongly regular graphs are graphs of maximal complexity among all graphs of the same order and degree; their complements are shown to be of minimal complexity. A generalization to nearly regular graphs with two distinct eigenvalues of the Laplacian is presented. Conjectures and applications of these results to biological problems on neuronal activity are described.
Cycle-Based Characterizations Of The Cycle Completable Graphs, Terry A. Mckee
Cycle-Based Characterizations Of The Cycle Completable Graphs, Terry A. Mckee
Theory & Applications of Graphs
Cycle completable graphs were originally defined to answer matrix completion problems and have since received diverse graph-theoretic descriptions, in spite of not directly mentioning cycles. This paper characterizes such graphs by their chordless cycles never having ``bridges'' (as defined in H.-J. Voss's 1991 monograph {\em Cycles and Bridges in Graphs\/}) that have more than two vertices of attachment in the cycle. This approach is then related to the well-studied, yet seemingly quite distinct, classes of chordal graphs and series-parallel graphs. This is done by allowing chords to be ``bridges'' that have exactly two vertices of attachment.
Therepairer_Vol25no4_April1920
Therepairer_Vol25no3_March1920
Coordinated School Health 2024-25 Annual Report, Tennessee. Department Of Education.
Coordinated School Health 2024-25 Annual Report, Tennessee. Department Of Education.
Coordinated School Health
No abstract provided.