Oriented gain graphs, line graphs and eigenvalues
Copyright policy )Oriented gain graphs, line graphs and eigenvalues
A theory of orientation on gain graphs (voltage graphs) is developed to generalize the notion of orientation on graphs and signed graphs. Using this orientation scheme, the line graph of a gain graph is studied. For a particular family of gain graphs with complex units, matrix properties are established. As with graphs and signed graphs, there is a relationship between the incidence matrix of a complex unit gain graph and the adjacency matrix of the line graph.
- College at Brockport United States
oriented gain graph, Graphs and linear algebra (matrices, eigenvalues, etc.), Graph operations (line graphs, products, etc.), voltage graph, line graph eigenvalues, gain graph, Signed and weighted graphs, Graphs and abstract algebra (groups, rings, fields, etc.), orientation on gain graphs, FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO), complex unit gain graph
oriented gain graph, Graphs and linear algebra (matrices, eigenvalues, etc.), Graph operations (line graphs, products, etc.), voltage graph, line graph eigenvalues, gain graph, Signed and weighted graphs, Graphs and abstract algebra (groups, rings, fields, etc.), orientation on gain graphs, FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO), complex unit gain graph
selected citations These citations are derived from selected sources.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).29 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.Top 10% influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 10% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!