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The distance spectral radius of a connected graph is the largest eigenvalue of its distance matrix. We determine the unique non-starlike non-caterpillar tree with maximal distance spectral radius.
Yanna Wang, et al. "A note on distance spectral radius of trees." Special Matrices 5.1 (2017): 296-300. <http://eudml.org/doc/288487>.
@article{YannaWang2017, abstract = {The distance spectral radius of a connected graph is the largest eigenvalue of its distance matrix. We determine the unique non-starlike non-caterpillar tree with maximal distance spectral radius.}, author = {Yanna Wang, Rundan Xing, Bo Zhou, Fengming Dong}, journal = {Special Matrices}, keywords = {distance spectral radius; distance Perron vector; non-starlike tree; non-caterpillar tree}, language = {eng}, number = {1}, pages = {296-300}, title = {A note on distance spectral radius of trees}, url = {http://eudml.org/doc/288487}, volume = {5}, year = {2017}, }
TY - JOUR AU - Yanna Wang AU - Rundan Xing AU - Bo Zhou AU - Fengming Dong TI - A note on distance spectral radius of trees JO - Special Matrices PY - 2017 VL - 5 IS - 1 SP - 296 EP - 300 AB - The distance spectral radius of a connected graph is the largest eigenvalue of its distance matrix. We determine the unique non-starlike non-caterpillar tree with maximal distance spectral radius. LA - eng KW - distance spectral radius; distance Perron vector; non-starlike tree; non-caterpillar tree UR - http://eudml.org/doc/288487 ER -