We prove that there does not exist any chromatic index critical graph of even order with exactly five vertices of maximum degree.

Throughout this article, all graphs we deal with are finite, simple, and undirected. We use. V (G), |G|, E(G), e(G), ∆(G), and δ(G) to denote respectively ...

Throughout this article, all graphs we deal with are finite, simple, and undirected. We use V ًGق, jGj, EًGق, eًGق, DًGق, and dًGق to denote respectively the ...

In this paper, we prove several new results on chromatic index critical graphs. We also prove that if G is a Δ(≥4)-critical graph, then nΔ≥2∑j=2Δ−1njj−1+ ...

Citation: Song, Z.-X., Yap, H.P. (2005-06). Chromatic index critical graphs of even order with five major vertices. Graphs and Combinatorics 21 (2) : 239-246.

the vertices v Є V(G) with da(v) = 3 are in N(x). On the other hand, if. =8-1 A-2. vЄ B is adjacent to s - 1 vertices of J, in G, then do(v).

Jun 28, 2009 · In this paper, we prove several new results on chromatic index critical graphs. We also prove that if G is a Δ ( ≥ 4 ) -critical graph, ...

Missing: Five Major

In this paper we show that there are no chromatic-index-critical graphs of order 14. Our result extends that of (5) and leaves order 16 as the only case to be ...

Bibliographic details on Chromatic Index Critical Graphs of Even Order with Five Major Vertices.