Combinatorial constructions of weight bases: the Gelfand-Tsetlin basis.
Hersh, Patricia, Lenart, Cristian (2010)
The Electronic Journal of Combinatorics [electronic only]
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Hersh, Patricia, Lenart, Cristian (2010)
The Electronic Journal of Combinatorics [electronic only]
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Loebl, Martin (2002)
The Electronic Journal of Combinatorics [electronic only]
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Janvresse, É., de la Rue, T., Velenik, Y. (2006)
The Electronic Journal of Combinatorics [electronic only]
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Muhammad Javaid (2014)
Discussiones Mathematicae Graph Theory
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In 1980, Enomoto et al. proposed the conjecture that every tree is a super (a, 0)-edge-antimagic total graph. In this paper, we give a partial sup- port for the correctness of this conjecture by formulating some super (a, d)- edge-antimagic total labelings on a subclass of subdivided stars denoted by T(n, n + 1, 2n + 1, 4n + 2, n5, n6, . . . , nr) for different values of the edge- antimagic labeling parameter d, where n ≥ 3 is odd, nm = 2m−4(4n+1)+1, r ≥ 5 and 5 ≤ m ≤ r.
Cariolaro, David, Fu, Hung-Lin (2009)
The Electronic Journal of Combinatorics [electronic only]
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LeSaulnier, Timothy D., Stocker, Christopher, Wenger, Paul S., West, Douglas B. (2010)
The Electronic Journal of Combinatorics [electronic only]
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Felsner, Stefan, Massow, Mareike (2008)
Journal of Graph Algorithms and Applications
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Propp, James (2001)
The Electronic Journal of Combinatorics [electronic only]
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Ghebleh, Mohammad, Kral', Daniel, Norine, Serguei, Thomas, Robin (2006)
The Electronic Journal of Combinatorics [electronic only]
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Fujita, Shinya, Kaneko, Atsushi, Schiermeyer, Ingo, Suzuki, Kazuhiro (2009)
The Electronic Journal of Combinatorics [electronic only]
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Fulmek, Markus (2010)
The Electronic Journal of Combinatorics [electronic only]
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A.P. Santhakumaran, S. Athisayanathan (2010)
Discussiones Mathematicae Graph Theory
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For two vertices u and v in a graph G = (V,E), the detour distance D(u,v) is the length of a longest u-v path in G. A u-v path of length D(u,v) is called a u-v detour. A set S ⊆V is called an edge detour set if every edge in G lies on a detour joining a pair of vertices of S. The edge detour number dn₁(G) of G is the minimum order of its edge detour sets and any edge detour set of order dn₁(G) is an edge detour basis of G. A connected graph G is called an edge detour graph if it has...
Loh, Po-Shen (2009)
The Electronic Journal of Combinatorics [electronic only]
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Sana Javed, Mujtaba Hussain, Ayesha Riasat, Salma Kanwal, Mariam Imtiaz, M. O. Ahmad (2017)
Open Mathematics
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An edge-magic total labeling of an (n,m)-graph G = (V,E) is a one to one map λ from V(G) ∪ E(G) onto the integers {1,2,…,n + m} with the property that there exists an integer constant c such that λ(x) + λ(y) + λ(xy) = c for any xy ∈ E(G). It is called super edge-magic total labeling if λ (V(G)) = {1,2,…,n}. Furthermore, if G has no super edge-magic total labeling, then the minimum number of vertices added to G to have a super edge-magic total labeling, called super edge-magic deficiency...