A CHARACTERIZATION OF UPPER-EMBEDDABLE GRAPHS

A CHARACTERIZATION OF UPPER-EMBEDDABLE GRAPHS
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DOI:
10.1090/s0002-9947-1978-0492309-3
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发表时间:
1978-07
影响因子:
1.3
通讯作者:
M. Jungerman
M. Jungerman
中科院分区:
数学1区
文献类型:
--
作者:
M. Jungerman

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证明了伪图G是上可嵌入的当且仅当它有一个生成树T使得G-T至多有一个奇数边分支。这个结果被用来证明所有的4-边连通图都是上可嵌入的。
It is proved that a pseudograph G is upper-embeddable if and only if it has a spanning tree T such that G — T has at most one component with an odd number of edges. This result is then used to show that all 4-edge connected graphs are upper-embeddable.