Browsing by Author "Murthy, T.S."

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    A Partial Solution to Cordial Tree Conjecture
    (Taru Publications, 2014) Hegde, S.M.; Murthy, T.S.
    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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    A Partial Solution to Linear Congruence Conjecture
    (Springer India sanjiv.goswami@springer.co.in, 2016) Hegde, S.M.; Murthy, T.S.
    Adams and Ponomarenko (Involv J Math 3(3):341–344, 2010) conjectured that when n is composite, ki? Zn satisfying (Formula Presented). In this paper, distinct solution has been constructed to the linear congruence when ?i=1kai=n-1, using super edge-magic labeling of trees. © 2016, The National Academy of Sciences, India.
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    A Partial Solution to Cordial Tree Conjecture
    (2014) Hegde, S.M.; Murthy, T.S.
    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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    A Partial Solution to Linear Congruence Conjecture
    (2016) Hegde, S.M.; Murthy, T.S.
    Adams and Ponomarenko (Involv J Math 3(3):341 344, 2010) conjectured that when n is composite, k<n and gcd(a1,a2,..,ak)?Zn , then there exist distinct xi? Zn satisfying (Formula Presented). In this paper, distinct solution has been constructed to the linear congruence when ?i=1kai=n-1, using super edge-magic labeling of trees. 2016, The National Academy of Sciences, India.