Glasnik Matematicki, Vol. 44, No.2 (2009), 259-266.

ON THE EDGE DEGREES OF TREES

Damir Vukičević

Department of Mathematics, University of Split, Nikole Tesle 12, HR-21000 Split, Croatia
e-mail: vukicevi@pmfst.hr

Abstract.   Let mij(G) be the number of edges of graph G, connecting vertices of degrees i and j. Necessary and sufficient conditions are established on a symmetric matrix M of type Δ × Δ such that there is a tree T for which Mij = mij(T) holds for all i, j.

2000 Mathematics Subject Classification.   05C05, 05C07, 05C90.

Key words and phrases.   Realizability, edge-connectivities, tree.

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DOI: 10.3336/gm.44.2.01

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