In this paper, we have discussed the Nordhaus-Gaddum problems for diameter d, girth g, circumference c and edge covering number ill-We have both got the following results. If both G and G are connected, then 4<~d+a~~ 6, then p+2<.c+~<.2p, 3(p-1)<~c.~<.p 2. If both G and G have no isolated vertex, th
β¦ LIBER β¦
Some relations between rank of a graph and its complement
β Scribed by Saieed Akbari; Alireza Alipour; Javad Ebrahimi Boroojeni; Ebrahim Ghorbani; Mirhamed Mirjalalieh Shirazi
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 136 KB
- Volume
- 422
- Category
- Article
- ISSN
- 0024-3795
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## Abstract For a graphb __F__ without isolated vertices, let __M__(__F__; __n__) denote the minimum number of monochromatic copies of __F__ in any 2βcoloring of the edges of __K__~__n__~. Burr and Rosta conjectured that when __F__ has order __t__, size __u__, and __a__ automorphisms. Independent
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