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- Indian Institute of AstrophysicsIN108 papers
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18 papers · 1 filter
Dom-forcing sets in graphs
Susanth P, Charles Dominic, Premodkumar K P
A dominating set of vertices in a graph is called a \emph{dom-forcing set} if the sub-graph induced by must form a zero forcing se…
Parity Labeling in Signed Graphs
Mukti Acharya, Joseph Varghese Kureethara
Let be a signed graph where is a graph called the underlying graph of and . Let suc…
Characterizations of Some Parity Signed Graphs
Mukti Acharya, Joseph Varghese Kureethara, Thomas Zaslavsky
We describe parity labelings of signed graphs; equivalently, cuts of the underlying graph that have nearly equal sides. We characterize the balanced signed graphs which are parity…
Structural domination and coloring of some ()-free graphs
S. A. Choudum, T. Karthick, Manoj M. Belavadi
We show that every connected induced subgraph of a graph is dominated by an induced connected split graph if and only if is -free, where is a set of six…
L(t, 1)-Colouring of Graphs
Priyanka Pandey, Joseph Varghese Kureethara
One of the most famous applications of Graph Theory is in the field of Channel Assignment Problems. There are varieties of graph colouring concepts that are used for different requ…
Further Studies on the Sparing Number of Graphs
N K Sudev, K A Germina
Let denote the set of all non-negative integers and be its power set. An integer additive set-indexer is an injective function $f:V(G)\to…