kernels in circulant digraphs

نویسندگان

r. lakshmi

s. vidhyapriya

چکیده

a kernel $j$ of a digraph $d$ is an independent set of vertices of $d$ such that for every vertex $w,in,v(d),setminus,j$ there exists an arc from $w$ to a vertex in $j.$in this paper, among other results, a characterization of $2$-regular circulant digraph having a kernel is obtained. this characterization is a partial solution to the following problem: characterize circulant digraphs which have kernels; it appeared in the book {it digraphs - theory, algorithms and applications}, second edition, springer-verlag, 2009, by j. bang-jensen and g. gutin.

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عنوان ژورنال:
transactions on combinatorics

ناشر: university of isfahan

ISSN 2251-8657

دوره 3

شماره 2 2014

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