Some new classes of graceful diameter six trees
Citation
Panda, A. C. & Mishra, D. (2015). Some new classes of graceful diameter six trees. TWMS Journal of Applied and Engineering Mathematics, 5(2), 269-275.Abstract
Here we denote a diameter six tree by (a0; a1, a2, . . . , am; b1, b2, . . . , bn; c1, c2, . . . , cr), where a0 is the center of the tree; ai, i = 1, 2, . . . , m, bj , j = 1, 2, . . . , n, and ck, k = 1, 2, . . . , r are the vertices of the tree adjacent to a0; each ai is the center of a diameter four tree, each bj is the center of a star, and each ck is a pendant vertex. Here we give graceful labelings to some new classes of diameter six trees (a0; a1, a2, . . . , am; b1, b2, . . . , bn; c1, c2, . . . , cr) in which the branches of a diameter four tree incident on a0 are of same type, i.e. either they are all odd branches or even branches. Here by a branch we mean a star, i.e. we call a star an odd branch if its center has an odd degree and an even branch if its center has an even degree.
Source
TWMS Journal of Applied and Engineering MathematicsVolume
5Issue
2URI
https://hdl.handle.net/11729/2567http://jaem.isikun.edu.tr/web/index.php/archive/90-vol5no2/222
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