The genus of the binomial random graph $G(n,p)$ is well understood for a wide range $p=p(n)$. Recently, study bipartite $G(n_1,n_2,p)$, with partition classes size $n_1$ and $n_2$, was initiated by Mohar Jing, who showed that when $n_2$ are comparable in $p=p(n_1,n_2)$ significantly larger than $(n_1n_2)^{-\frac{1}{2}}$ has similar behavior to graph. In this paper we show there threshold planar...

Several domination results have been obtained for maximal outerplanar graphs (mops). The classical problem is to minimize the size of a set S vertices an n-vertex graph G such that $$G - N[S]$$ , by deleting closed neighborhood S, contains no vertices. In proof Art Gallery Theorem, Chvátal showed minimum size, called number and denoted $$\gamma (G)$$ at most n/3 if mop. Here we consider modific...

We study the problem of Embedding Wirelength $n$-dimensional Hypercube $Q_n$ into Cylinder $C_{2^{n_1}}\times P_{2^{n_2}}$, where $n_1+ n_2=n$, called EWHC. show that such wirelength corresponding to Gray code embedding is $2^{n_2}(3\cdot 2^{2n_1-3}-2^{n_1-1})+2^{n_1} (2^{2n_2-1}-2^{n_2-1})$. In addition, we prove an optimal strategy

Let $R$ be a prime ring, $I$ be any nonzero ideal of $R$ and $f:Irightarrow R$ be an additivemap. Then skew-Engel condition $langle... langle langle$$f(x),x^{n_1} rangle,x^{n_2} rangle ,...,x^{n_k} rangle=0$ implies that $f (x)=0$ $forall,xin I$ provided $2neq$ char $(R)>n_1+n_2+...+n_k, $ where $n_1,n_2,...,n_k$ are natural numbers. This extends some existing results. In the end, we also gener...

کچ ی هد پ ی ش مز ی هن ه و فد : ساسا د مردنس رد نامرد ي سفنت سرتس ي ظنت نادازون داح ي سکا لدابت م ي و نژ د ي سکا ي د هدوب نبرک تسا طسوت هک کبس اـه ي ناـمرد ي فلتخم ي هلمجزا لکتورپ INSURE ماجنا م ي دوش ا اذل . ي هعلاطم ن فدهاب اقم ي هس عضو ي ت اه ي ندب ي عضو رب رمد و زاب قاط ي سفنت ت ي هـب لاتـبم سراـن نادازون ردنس د م ي سفنت سرتس ي لکتورپ اب نامرد تحت داح INSURE ماجنا درگ ...

كچ ي هد هقباس فده و : ييوراد ناهايگ زا هدافتسا اب يتبايد ناراميب رد مرس بولطمان ياهديپيل و زكولگ حطس نداد شهاك يم رادروخرب يدايز ينيلاب تيمها زا دشاب . هوك هرت تهابش رب ينبم يتاقيقحت دهاوش دوجو هب هجوت اب ي س و ي ر رظن زا خرب ي د دض و هرثؤم داوم ي تبا ي س ندوب ي ،ر رب رد اذل يسر هوك هرت نمزم و يكاروخ فرصم رثا رضاح ي ،زكوـلگ نازيم رب رت ي د ييارحص شوم مرس لاتوت لورتسلك و ديريسيلگ سررب دروم يتبا...