A Partial Solution to Cordial Tree Conjecture

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Date

2014

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Taru Publications

Abstract

Abstract: In this paper, we prove the weak harmonious tree conjecture by Andrzej ?ak (2009) using the value sets of polynomials. Consequently, it partially proves the cordial tree conjecture by Mark Hovey (1991), that is all trees of order n < p are p-cordial, where p is a prime. © 2014, © Taru Publications.

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Keywords

Algebra, Combinatorial nullstellensatz, Harmonious labeling, K-cordial labeling, Labelings, T-harmonious labeling, Value sets, Forestry, Algorithms, Mathematical Analysis

Citation

Journal of Discrete Mathematical Sciences and Cryptography, 2014, 17, 3, pp. 257-263

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