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On diregularity of digraphs of defect two
(The University of Newcastle Australia, 2007-11-05)
Since Moore digraphs do not exist for k /= 1 and d /= 1,
the problem of finding the existence of digraph of out-degree d >= 2
and diameter k >= 2 and order close to the Moore bound becomes an
interesting problem. To ...
Structural Properties and Labeling of Graphs
(School of Information Technology and Mathematical Sciences, University of Ballarat, 2007-11-25)
The complexity in building massive scale parallel
processing systems has re- sulted in a growing interest in the study
of interconnection networks design. Network design a®ects the
performance, cost, scalability, and ...
On the partition dimension and connected partition dimension of wheels
(Ars Combinatoria, 2007)
On vertex-magic total labeling of some wheel related graphs
(Utilitas Math., 2007)
Let G be a graph with vertex set V = V (G) and edge set E =
E(G) and let e = jE(G)j and v = jV (G)j. A one-to-one map ¸ from
V [ E onto the integers f1; 2; : : : ; v + eg is called vertex-magic total
labeling if there ...