[PDF] Top 20 The incidence chromatic number of some graph

... Throughout the paper, all graphs dealt with are finite, simple, undirected, and loopless. Let G be a graph, and let V (G), E(G), ∆ (G), respectively, denote vertex set, edge set, and maximum degree of G. In 1993, ... See full document

... give some of the other vertex coloring parameters. Subchromatic number and subachromatic number were first introduced by Mynhardt and Broere [77] as a special case of a more general concept and was ... See full document

... minimum number of colors for which there exists a proper coloring of G is called chromatic number of G and is denoted by χ ...dominator chromatic number is denoted by χ td (G) and is ... See full document

... game chromatic number are χ ( ) G ≤ χ g ( ) G ≤ ∆ ( ) G + 1 , ...game chromatic number of tree graphs and proved that χ g ( ) T ≤ 4 ...game chromatic number of cartesian product ... See full document

... neighbourhood chromatic dominating set (nchd-set) if 𝐷 is a dominating set and 𝜒 < 𝑁 𝐷 > = ...neighbourhood chromatic dominating set of a graph G is called the neighbourhood chromatic ... See full document

... edge chromatic number of a connected graph in terms of (1) its order and edge chromatic number; (2) its decomposition di- mension and edge chromatic ...need some ... See full document

... 2) Proof: Roman Emperor Constantine had the requirement that an army or legion could be sent from its home to defend a neighboring location only if there was a second army, which would stay and protect the home. Thus, ... See full document

... in graph theory, and its various applications to ad-hock net work, distributed computing, social net works and web graph, partly explain the increased ...of graph theory. Graph theory is one ... See full document

... of graph theory as found in 1 . Let G = (V, E) be a graph of order n with minimum degree atleast one ...a graph G is a graph formed from a subset S of the vertices of G and all of the edges ... See full document

... Circular-arc graphs are introduced as generalization of interval graphs. The class of interval graphs is properly contained in the class of circular-arc graphs. In fact every interval graph is a Circular-arc ... See full document

... the chromatic index and the edge domination number of    n [ ] i  where n is a power of a prime are ...domination number of    n [ ] i  is ...line graph could easily be ... See full document

... total chromatic number of line graph of Fan graph, double star, Friendship graph and splitting graph of path, cycle, star and sun let ... See full document

... Fuzzy graph coloring is one of the most important problems of fuzzy graph ...fuzzy graph was by Kaufmann in 1973, based on Zadeh's fuzzy relations ...fuzzy graph was defined by the authors ... See full document

... Various graph parameters have been studied in respect of sensitivity (how critical) the parameters are in respect of edge deletion, edge addition, vertex deletion or vertex insertion and ...after chromatic ... See full document

... a graph G is a mapping φ : V (G) → {1, 2, 3, ...minimum number k such that G has a proper coloring is called chromatic number, and G is called k − colorable ...solving graph coloring ... See full document

... the number of maximum independent sets occuring in the partition is also ...maximum number of elements in a domatic (strong / weak domatic) partition is ...of chromatic weak domatic partition of the ... See full document

... a graph. L-edge colouring of a graph is an assignment f:E(G) → 2 X − ϕ such that no two adjacent edges receive the same label where X is the ground ...A graph G is said to be L-edge colourable if ... See full document

... domination number and is denoted by (G). The minimum number of colours required to colour all the vertices such that adjacent vertices do not receive the same colour is the chromatic number ... See full document

... a graph G is the minimum number of vertices whose removal results in a disconnected ...The chromatic number is defined to be the minimum number of colours required to colour all the ... See full document

... Cayley graph is in- ...G. Some graph parame- ters such as diameter, girth, clique number, independence number, vertex chromatic number and domination number are ... See full document