A graph G(p, q) is said to be odd harmonious if there exists an injection f : V (G) → {0, 1, 2, · · · , 2q − 1} such that the induced function f∗ : E(G) → {1, 3, · · · , 2q − 1} defined by f∗(uv) = f(u) + f(v) is a bijection. In this paper we prove that the plus graph Pln , open star of plus graph S(t.P ln), path union of plus graph Pln, joining of Cm and plus graph Pln with a path, one point u...

In thw pq=wr WC \hcw thrtt the enttre graph of a bridgcle\s connected plane graph is hitm&wnlan. and thwt the entlrz pph of ti plane blwk IS hamiltonian connected and vertex p~~c~whc. In addition. WI: 4ww that in an); hhxk G which is not a circuit, given a vertex v of G and (4 TWUI~ k of G. there is a path p. suspen&d m fi, such that p is a path in k of iength at least I and ii .E(p) \:,(G E(p)...

Let P be a point set with n elements in general position. A triangulation T of P is a set of triangles with disjoint interiors such that their union is the convex hull of P , no triangle contains an element of P in in its interior, and the vertices of the triangles of T are points of P . Given T we define a graph G(T ) whose vertices are the triangles of T , two of which are adjacent if they sh...

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