2 citations · 3 across the 3 of their papers we have counts for
3 papers
math.CO2009★ 1 cited
Semiregular Trees with Minimal Index
Tuerker Biyikoglu, Josef Leydold
A semiregular tree is a tree where all non-pendant vertices have the same degree. Belardo et al. (MATCH Commun. Math. Chem. 61(2), pp. 503-515, 2009) have shown that among all semi…
math.CO2008
Algebraic Connectivity and Degree Sequences of Trees
Tuerker Biyikoglu, Josef Leydold
We investigate the structure of trees that have minimal algebraic connectivity among all trees with a given degree sequence. We show that such trees are caterpillars and that the v…
math.CO2008★ 2 cited
Largest Laplacian Eigenvalue and Degree Sequences of Trees
Tuerker Biyikoglu, Marc Hellmuth, Josef Leydold
We investigate the structure of trees that have greatest maximum eigenvalue among all trees with a given degree sequence. We show that in such an extremal tree the degree sequence…