Strong and semi strong outer mod sum graphs

نویسندگان
چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Strong and Semi Strong Outer Mod Sum Graphs

A semi strong outer mod sum labeling of a graph G is an injective mapping f : V (G) → Z+ with an additional property that for each vertex v of G, there exist vertices w1, w2 in V (G) such that f(w1) = ∑ u∈N(v) f(u) and f(v) = ∑ u∈N(w2) f(u), where both the sums are taken under addition modulo m for some positive integer m. A graph G which admits a semi strong outer mod sum labeling is called a ...

متن کامل

Strong Alliances in Graphs

For any simple connected graph $G=(V,E)$, a defensive alliance is a subset $S$ of $V$ satisfying the condition that every vertex $vin S$ has at most one more neighbour in $V-S$ than it has in $S$. The minimum cardinality of any defensive alliance in $G$ is called the alliance number of $G$, denoted $a(G)$. In this paper, we introduce a new type of alliance number called $k$-strong alliance numb...

متن کامل

Strong sum distance in fuzzy graphs

In this paper the idea of strong sum distance which is a metric, in a fuzzy graph is introduced. Based on this metric the concepts of eccentricity, radius, diameter, center and self centered fuzzy graphs are studied. Some properties of eccentric nodes, peripheral nodes and central nodes are obtained. A characterisation of self centered complete fuzzy graph is obtained and conditions under which...

متن کامل

On the Strong Metric Dimension of Cartesian Sum Graphs

A vertex w of a connected graph G strongly resolves two vertices u, v ∈ V (G), if there exists some shortest u−w path containing v or some shortest v−w path containing u. A set S of vertices is a strong metric generator for G if every pair of vertices of G is strongly resolved by some vertex of S. The smallest cardinality of a strong metric generator for G is called the strong metric dimension ...

متن کامل

Good and Semi-Strong Colorings of Oriented Planar Graphs

A k?coloring of an oriented graph G = (V; A) is an assignment c of one of the colors 1; 2; : : :; k to each vertex of the graph such that, for every arc (x; y) of G, c(x) 6 = c(y). The k?coloring is good if for every arc (x; y) of G there is no arc (z; t) 2 A such that c(x) = c(t) and c(y) = c(z). A k?coloring is said to be semi?strong if for every vertex x of G, c(z) 6 = c(t) for any pair fz; ...

متن کامل

ذخیره 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: International Journal of Mathematical Analysis

سال: 2013

ISSN: 1314-7579

DOI: 10.12988/ijma.2013.13009