，P+q}是一个双射，如果对所有的边xy，f(x)+f(y)+f(xy)是常量，则称图G是边幻图(edge-magic)．本文证明了三路树P(m，n，t)当n为偶数，t=n+2时也是边幻图。
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In this paper ,applying the methods of identification, we prove the conjecture which every tree is an integral sum graph by chen and every tree is edge-magic. Lastly we give a kind of non-harmonions.
在这篇论文里，我们应用粘合的方法对Chen提出的猜测每一棵树都是整和图加以证明；对猜测每一棵树都是边幻图加以部分证明；最后给出一类非协调图。
参考来源 - 图论中的一些标号问题·2,447,543篇论文数据，部分数据来源于NoteExpress
However, there are growing concerns over how long South Korea can keep its cultural edge in the region as its large neighbour tries to tap into its magic touch.
然而，随着较大的邻国尝试韩国的神奇配方，有关韩国在亚洲的文化优势还能保持多久的担忧日益加深。
Two more goblins, trying to edge past the shrieking couple into the room, were caught in the chain of malevolent magic.
更有两个地精期望跨过这尖叫的一对儿跻进屋内，同样被这恶毒的魔法锁链所捕获。
Far out in the sea there was an island, on the rocky edge of which lived three Sirens, the three sisters of magic songs.
遥远的海面上有一座岛屿，石崖边居住着唱魔歌的海妖塞壬三姐妹。
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