Bounds on the size of super edge-magic graphs depending on the girth
نویسندگان
چکیده
Let G = (V,E) be a graph of order p and size q. It is known that if G is super edge-magic graph then q ≤ 2p− 3. Furthermore, if G is super edge-magic and q = 2p− 3, then the girth of G is 3. It is also known that if the girth of G is at least 4 and G is super edge-magic then q ≤ 2p − 5. In this paper we show that there are infinitely many graphs which are super edge-magic, have girth 5, and q = 2p− 5. Therefore the maximum size for super edge-magic graphs of girth 5 cannot be reduced with respect to the maximum size of super edge-magic graphs of girth 4.
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ورودعنوان ژورنال:
- Ars Comb.
دوره 119 شماره
صفحات -
تاریخ انتشار 2015