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**Volume 53 (2021)**

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**Volume 49 (2017)**

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#### Keywords = vertex equitable labeling

Number of Articles: 5

##### Rainbow Edge Colouring of Digraphs

*Volume 53, Issue 2 , December 2021, , Pages 165-172*

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**Abstract **

An edge coloring of a digraph $D$ is called a $P_3$-rainbow edge coloring if the edges of any directed path of $D$ with length 2 are colored with different colors. It is proved that for a $P_3$-rainbow edge coloring of a digraph $D$, at least $\left\lceil{log_2{\chi(D)}} ...
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##### Remainder Cordial Labeling of Graphs

*Volume 49, Issue 1 , June 2017, , Pages 17-30*

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**Abstract **

In this paper we introduce remainder cordial labeling of graphs. Let $G$ be a $(p,q)$ graph. Let $f:V(G)\rightarrow \{1,2,...,p\}$ be a $1-1$ map. For each edge $uv$ assign the label $r$ where $r$ is the remainder when $f(u)$ is divided by $f(v)$ or $f(v)$ is divided by $f(u)$ according as $f(u)\geq ...
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##### Asteroidal number for some product graphs

*Volume 49, Issue 1 , June 2017, , Pages 31-43*

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**Abstract **

The notion of Asteroidal triples was introduced by Lekkerkerker and Boland [6]. D.G.Corneil and others [2], Ekkehard Kohler [3] further investigated asteroidal triples. Walter generalized the concept of asteroidal triples to asteroidal sets [8]. Further study was carried out by Haiko Muller [4]. In this ...
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##### Vertex Equitable Labeling of Double Alternate Snake Graphs

*Volume 46, Issue 1 , December 2015, , Pages 27-34*

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**Abstract **

Let G be a graph with p vertices and q edges and A = {0, 1, 2, . . . , [q/2]}. A vertex labeling f : V (G) → A induces an edge labeling f∗ defined by f∗(uv) = f(u) + f(v) for all edges uv. For a ∈ A, let vf (a) be the number of vertices v with f(v) = a. A ...
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##### Vertex Equitable Labelings of Transformed Trees

*Volume 44, Issue 1 , December 2013, , Pages 9-20*