کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6423729 1632577 2016 5 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Relation between number of kernels (and generalizations) of a digraph and its partial line digraphs
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات گسسته و ترکیبات
پیش نمایش صفحه اول مقاله
Relation between number of kernels (and generalizations) of a digraph and its partial line digraphs
چکیده انگلیسی

Let D=(V,A) be a digraph, an arc subset A′⊆A and a surjective mapping ϕ:A→A′ such that the set of heads of A′ is V and ϕ|A′=Id and for every vertex j∈V, ϕ(ω−(j))⊂ω−(j)∩A′. The partial line digraph of D, LD, is the digraph with vertex set V(LD)=A′ and set of arcs A(LD)={(ij,ϕ(j,k)):(j,k)∈A}. In this paper we prove the following results: Let k,l be two natural numbers such that 1≤l≤k, and D a digraph with δ−(D)≥1. Then the number of (k,l)-kernels of D is less than or equal to the number of (k,l)-kernels of LD. Moreover, if l

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Electronic Notes in Discrete Mathematics - Volume 54, October 2016, Pages 265-269
نویسندگان
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