1 citations · 1 across the 2 of their papers we have counts for
3 papers
math.CO2012
An extension of Hoffman and Smith's subdivision theorem
Lee Gumbrell
In 1975 Hoffman and Smith showed that for a graph with an internal path, the value of the largest eigenvalue decreases strictly each time we subdivide the interna…
math.CO2012★ 1 cited
A connection between the bipartite complements of line graphs and the line graphs with two positive eigenvalues
Lee Gumbrell
In 1974 Cvetković and Simić showed which graphs are the bipartite complements of line graphs. In 2002 Borovićanin showed which line graphs have third largest eigenvalue…
math.CO2011
A classification of all 1-Salem graphs
Lee Gumbrell, James McKee
One way to study certain classes of polynomials is by considering examples that are attached to combinatorial objects. Any graph has an associated reciprocal polynomial ,…