Generalised colouring sums of graphs

J Kok, NK Sudev, KP Chithra - Cogent Mathematics, 2016 - Taylor & Francis
The notion of the b-chromatic number of a graph attracted much research interests and
recently a new concept, namely the b-chromatic sum of a graph, denoted by φ′(G), has …

[PDF][PDF] Certain Topological Indices of Line Graph of Dutch Windmill Graphs.

MS Sardar, S Zafar, Z Zahid, MR Farahani… - … Asian Bulletin of …, 2020 - researchgate.net
A Dutch windmill graph D (m) n, m≥ 1, n≥ 3 is the graph obtained by taking m copies of the
cycle graph Cn with a vertex in common. In this paper, we compute certain topological …

A study on integer additive set-graceful graphs

NK Sudev, KA Germina - arXiv preprint arXiv:1403.3984, 2014 - arxiv.org
A set-labeling of a graph $ G $ is an injective function $ f: V (G)\to\mathcal {P}(X) $, where $
X $ is a finite set and a set-indexer of $ G $ is a set-labeling such that the induced function …

The b-chromatic number of certain graphs and digraphs

J Kok, NK Sudev - Journal of discrete mathematical sciences and …, 2016 - Taylor & Francis
The b-chromatic number of a graph G is the maximum number k of colours in a proper
colouring of G, such that at least one vertex in each colour class has a neighbour in all other …

Some new results on the curling number of graphs

NK Sudev, C Susanth, KP Chithra, J Kok… - arXiv preprint arXiv …, 2015 - arxiv.org
Let $ S= S_1S_2S_3\ldots S_n $ be a finite string. Write $ S $ in the form $ XYY\ldots Y=
XY^ k $, consisting of a prefix $ X $(which may be empty), followed by $ k $ copies of a non …

[PDF][PDF] Curling Numbers of Certain Graph Powers

C Susanth, SJ Kalayathankal, NK Sudev… - arXiv preprint arXiv …, 2015 - academia.edu
Given a finite nonempty sequence S of integers, write it as XY k, where Y k is a power of
greatest exponent that is a suffix of S: this k is the curling number of S. The concept of curling …

On chromatic curling number of graphs

C Susanth, NK Sudev, SJ Kalayathankal - arXiv preprint arXiv:1804.01860, 2018 - arxiv.org
The curling number of a graph G is defined as the number of times an element in the degree
sequence of G appears the maximum. Graph colouring is an assignment of colours, labels …

On the vertex in-degrees of certain Jaco-type graphs

J Kok, NK Sudev, KP Chithra, KA Germina… - arXiv preprint arXiv …, 2016 - arxiv.org
The concepts of linear Jaco graphs and Jaco-type graphs have been introduced as certain
types of directed graphs with specifically defined adjacency conditions. The distinct …

[PDF][PDF] Curling numbers of certain graph structures

C Susanth, SJ Kalayathankal, NK Sudev… - arXiv preprint arXiv …, 2015 - researchgate.net
Given a finite nonempty sequence S of integers, write it as XY k, where Y k is a power of
greatest exponent that is a suffix of S: this k is the curling number of S. The concept of curling …

A STUDY ON EQUITABLE CHROMATIC CURLING NUMBER OF GRAPHS

S Naduvath, CV Rachana, C Susanth… - CONTEMPORARY …, 2017 - hal.science
The curling number of a graph G may be defined as the number of times an element in the
degree sequence of G appears the most. Graph colouring is an assignment of colours …