
This research paper investigates and establishes sufficient conditions related to graph size and spectral radii of distance and adjacency matrices to guarantee the existence of spanning trees with a leaf distance of at least four in connected graphs.


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spectral-conditions-for-the-existence-of-spanning-trees-with-leaf-distance-at-least-four-in-graphs


Spectral Conditions for the Existence of Spanning Trees with Leaf Distance at Least Four in Graphs


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Every connected graph that is not a regular bipartite graph possesses a spanning weakly even tree.


spanning-weakly-even-trees-in-graphs-confirmation-of-two-conjectures-by-jackson-and-yoshimoto


Spanning Weakly Even Trees in Graphs: Confirmation of Two Conjectures by Jackson and Yoshimoto
