Circular flows of nearly Eulerian graphs and vertex-splitting
نویسنده
چکیده
The odd edge connectivity of a graph G, denoted by o(G), is the size of a smallest odd edge cut of the graph. Let S be any given surface and be a positive real number. We proved that there is a function fS( ) (depends on the surface S and lim !0 fS( )1⁄41) such that any graph G embedded in S with the odd-edge connectivity at least fS( ) admits a nowhere-zero circular (2þ )-flow. Another major result of the work is a new vertex splitting lemma which maintains the old edge connectivity and graph embedding. 2002 Wiley Periodicals, Inc. J Graph Theory 40: 147–161, 2002
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ورودعنوان ژورنال:
- Journal of Graph Theory
دوره 40 شماره
صفحات -
تاریخ انتشار 2002