Now showing items 1-6 of 6

• Acyclic Edge Coloring Of Graphs ﻿

(2013-10-07)
A proper edge coloring of G =(V,E)is a map c : E → C (where C is the set of available colors ) with c(e) ≠ c(ƒ) for any adjacent edges e,f. The minimum number of colors needed to properly color the edges of G, is called ...
• Boxicity And Cubicity : A Study On Special Classes Of Graphs ﻿

(2014-06-02)
Let F be a family of sets. A graph G is an intersection graph of sets from the family F if there exists a mapping f : V (G)→ F such that, An interval graph is an intersection graph of a family of closed intervals on the ...
• Boxicity, Cubicity And Vertex Cover ﻿

(2010-09-28)
The boxicity of a graph G, denoted as box(G), is the minimum dimension d for which each vertex of G can be mapped to a d-dimensional axis-parallel box in Rd such that two boxes intersect if and only if the corresponding ...
• Intersection Graphs Of Boxes And Cubes ﻿

(2011-01-25)
A graph Gis said to be an intersection graph of sets from a family of sets if there exists a function ƒ : V(G)→ such that for u,v V(G), (u,v) E(G) ƒ (u) ƒ (v) ≠ . Interval graphs are thus the intersection graphs ...
• Rainbow Colouring and Some Dimensional Problems in Graph Theory ﻿

(2018-04-05)
This thesis touches three diﬀerent topics in graph theory, namely, rainbow colouring, product dimension and boxicity. Rainbow colouring An edge colouring of a graph is called a rainbow colouring, if every pair of vertices ...
• Rainbow Connection Number Of Graph Power And Graph Products ﻿

(2014-09-09)
The minimum number of colors required to color the edges of a graph so that any two distinct vertices are connected by at least one path in which no two edges are colored the same is called its rainbow connection number. ...