A note on the number of matchings and independent sets in trees
نویسندگان
چکیده
منابع مشابه
A note on the number of matchings and independent sets in trees
We prove best-possible upper and lower bounds on the number of matchings in a tree in terms of the number of independent sets and the number of 2-independent sets. © 2004 Elsevier B.V. All rights reserved.
متن کاملA Note on Independent Sets in Trees
We give a simple graph-theoretical proofthat the largest number ofmaximal independent vertex sets in a tree with n vertices is given by 2k+ if n 2k, m(T) 2 if n 2k + 1, a result first proved by Wilf [SIAM J. Algebraic Discrete Methods, 7 (I 986), pp. 125-130]. We also characterize those trees achieving this maximum value. Finally we investigate some related problems. Key words, independent vert...
متن کاملOuter independent Roman domination number of trees
A Roman dominating function (RDF) on a graph G=(V,E) is a function f : V → {0, 1, 2} such that every vertex u for which f(u)=0 is adjacent to at least one vertex v for which f(v)=2. An RDF f is calledan outer independent Roman dominating function (OIRDF) if the set ofvertices assigned a 0 under f is an independent set. The weight of anOIRDF is the sum of its function values over ...
متن کاملon translation of politeness strategies in dialogues involving female characters in translations and retranslations of novels translated before and after the islamic revolution of iran and their effects on the image of women: a polysystem theory approach
abstract reception environment has considerable effects on accepting a translation. as the expectations of a target culture and its values and needs change throughout history, its criteria for accepting a translation or rejecting it will change accordingly (gentzler, 2001). the expectations of iran, as the reception environment in the present study, have changed after the islamic revolution. i...
the effects of cognitive strategies- note making and underlining- on iranian efl learners’ reading comprehension
هدف از انجام این مطالعه ، بررسی اثرات استفاده از استراتژی های شناختی یعنی "نت برداری" و "زیر خط کردن" بر روی عملکرد درک مطلب زبان آموزان ایرانی می باشد. به این منظور، 60 زبان آموز دختر سال چهارم دبیرستان از طریق آزمون پیشرفت زبان انگلیسی (نلسون)، از یک جامعه آماری بزرگتر انتخاب شدند. سپس به صورت تصادفی به سه گروه که هر گروه شامل ?0 دانش آموز همسان بود، تقسیم شدند: دو گروه آزمایش(گروه "نت برداری...
15 صفحه اولذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Discrete Applied Mathematics
سال: 2005
ISSN: 0166-218X
DOI: 10.1016/j.dam.2004.07.001