Long Paths in Bipartite Graphs and Path-Bistar Bipartite Ramsey Numbers

Long Paths in Bipartite Graphs and Path-Bistar Bipartite Ramsey Numbers
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DOI:
10.1007/s00373-019-02127-x
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发表时间:
2019-12
影响因子:
0.7
通讯作者:
M. Furuya;Shun-ichi Maezawa;K. Ozeki
M. Furuya;Shun-ichi Maezawa;K. Ozeki
中科院分区:
数学4区
文献类型:
--
作者:
M. Furuya;Shun-ichi Maezawa;K. Ozeki

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在本文中,我们关注所谓的扇型条件,确保二部图中存在长路径。作为我们主要结果的结果,我们完全确定了二分拉姆齐数,其中是从a星和a星通过连接它们的中心获得的图。
In this paper, we focus on a so-called Fan-type condition assuring us the existence of long paths in bipartite graphs. As a consequence of our main result, we completely determine the bipartite Ramsey numbers, whereis the graph obtained from a-star and a-star by joining their centers.