✦ LIBER ✦

On 3-colorings of bipartite p-threshold graphs

✍ Scribed by Ioan Tomescu

Publisher: John Wiley and Sons
Year: 1987
Tongue: English
Weight: 510 KB
Volume: 11
Category: Article
ISSN: 0364-9024
DOI: 10.1002/jgt.3190110307

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

On equitable coloring of bipartite graph

On equitable coloring of bipartite graphs

✍ Ko-Wei Lih; Pou-Lin Wu 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 285 KB

If the vertices of a graph G are partitioned into k classes V~, I/2 ..... Vk such that each V~ is an independent set and I1V~I-IV~[I ~< 1 for all i#j, then G is said to be equitably colored with k colors. The smallest integer n for which G can be equitably colored with n colors is called the equitab

Coloring Locally Bipartite Graphs on Sur

Coloring Locally Bipartite Graphs on Surfaces

✍ Bojan Mohar; Paul D. Seymour 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 129 KB

It is proved that there is a function f: N Q N such that the following holds. Let G be a graph embedded in a surface of Euler genus g with all faces of even size and with edge-width \ f(g). Then (i) If every contractible 4-cycle of G is facial and there is a face of size > 4, then G is 3-colorable.

Balanced coloring of bipartite graphs

✍ Uriel Feige; Shimon Kogan 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 128 KB

## Abstract Given a bipartite graph __G__(__U__∪__V, E__) with __n__ vertices on each side, an independent set __I__∈__G__ such that |__U__∩__I__|=|__V__∩__I__| is called a balanced bipartite independent set. A balanced coloring of __G__ is a coloring of the vertices of __G__ such that each color c

Minimum Color Sum of Bipartite Graphs

✍ Amotz Bar-Noy; Guy Kortsarz 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 242 KB

The problem of minimum color sum of a graph is to color the vertices of the Ž . graph such that the sum average of all assigned colors is minimum. Recently it was shown that in general graphs this problem cannot be approximated within 1y ⑀ Ž n , for any ⑀ ) 0, unless NP s ZPP Bar-Noy et al., Informa

P3-Factorization of complete bipartite g

P3-Factorization of complete bipartite graphs

✍ Kazuhiko Ushio 📂 Article 📅 1988 🏛 Elsevier Science 🌐 English ⚖ 344 KB

P,-factorization of K,,,, is (i) m + n -0 (mod 3), (ii) m < 2n, (iii) n s 2m and (iv) 3mn/2(m + n) is an integer.

On Total Colorings of Graphs

✍ C. Mcdiarmid; B. Reed 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 299 KB

AND Bruce Reed Department of Combinatorics and Optimisation, University of Waterloo, Waterloo, Ontario, Canada