Algebroid plane curves whose Milnor and Tjurina numbers differ by one or two

Cycles in a graph whose lengths differ b

Cycles in a graph whose lengths differ by one or two

✍ Bondy, J. A.; Vince, A. 📂 Article 📅 1998 🏛 John Wiley and Sons 🌐 English ⚖ 116 KB 👁 2 views

Several problems concerning the distribution of cycle lengths in a graph have been proposed by P. Erdös and colleagues. In this note two variations of the following such question are answered. In a simple graph where every vertex has degree at least three, must there exist two cycles whose lengths d