Double Duplication of Special Classes of Cycle Related Graphs

α Valuations of Special Classes of Quadratic Graphs

INTEGER-MAGIC SPECTRA OF CYCLE RELATED GRAPHS

For any h in N , a graph G = (V, E) is said to be h-magic if there exists a labeling l: E(G) to Z_{h}-{0} such that the induced vertex set labeling l^{+: V(G) to Z_{h}} defined by l^{+}(v)= Summation of l(uv)such that e=uvin in E(G) is a constant map. For a given graph G, the set of all for which G is h-magic is called the integer-magic spectrum of G and is denoted by IM(G). In this paper, the ...

Construction of Cycle Double Covers for certain classes of graphs

We introduce two classes of graphs, Indonesian graphs and k-doughnut graphs. Cycle double covers are constructed for these classes. In case of doughnut graphs this is done for the values k = 1, 2, 3 and 4.

Classes of line graphs with small cycle double covers

The Small Cycle Double Cover Conjectnre, due to J .A. Bondy, states that every simple bridgeless graph on n vertices has a cycle double cover with at most (n 1) cycles. There are a number of classes of graphs for which this conjecture is known to hold; for example, triangulations of surfaces, complete graphs, and 4-connected planar graphs. In this article, we prove that the conjecture holds for...

Edge pair sum labeling of some cycle related graphs

Let G be a (p,q) graph. An injective map f : E(G) → {±1,±2,...,±q} is said to be an edge pair sum labeling if the induced vertex function f*: V (G) → Z - {0} defined by f*(v) = ΣP∈Ev f (e) is one-one where Ev denotes the set of edges in G that are incident with a vertex v and f*(V (G)) is either of the form {±k1,±k2,...,±kp/2} or {±k1,±k2,...,±k(p-1)/2} U {±k(p+1)/2} according as p is even or o...