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    Wyświetlanie 1-8 z 8
    Tytuł:
    Two Modulo Three Sum Graphs
    Autorzy:
    Esakki, M. Vanu
    Nisaya, M. P. Syed Ali
    Powiązania:
    https://bibliotekanauki.pl/articles/1030957.pdf
    Data publikacji:
    2020
    Wydawca:
    Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
    Tematy:
    Two modulo three sum graph
    Two modulo three sum labeling
    Opis:
    Let G = (V, E) be a graph with p vertices and q edges is said to be a two modulo three sum graph if there is an injective function f from V(G) to { a∶0≤a≤3q-1 and either a≡0(mod 3) or a≡2(mod 3)} where q is the number of edges of G and such that finduces a bijectionf^* from E(G) to {a∶2≤a≤3q-1 and a≡2(mod 3)} given byf^* (uv)=f(u)+f(v)and the function f is called two modulo three sum labeling of G. In this paper, we introduce an analog of sum labeling known as two modulo three sum labeling and we define two modulo three sum labeling of some tree related graphs. Also we prove that split star, mirror path graph, complete bipartite graph and C_4 ʘ〖nK〗_1 are two modulo three sum graphs.
    Źródło:
    World Scientific News; 2020, 145; 274-285
    2392-2192
    Pojawia się w:
    World Scientific News
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Some results on centered triangular sum graphs
    Autorzy:
    Baskar, M.
    Namasivayam, P.
    Syed Ali Nisaya, M. P.
    Powiązania:
    https://bibliotekanauki.pl/articles/1193374.pdf
    Data publikacji:
    2021
    Wydawca:
    Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
    Tematy:
    Centered triangular numbers
    centered triangular sum graphs
    centered triangular sum labeling
    Opis:
    A centered triangular sum labeling of a graph G is a one-to-one function f : V (G) → N ∪{0} that induces a bijection f *: E(G) →{B_1 〖,B〗_2,…B_q} of the edges of G defined by f * (uv) = f(u) + f(v), for all e = uv ∊ E(G). The graph which admits such labeling is called a centered triangular sum graph.
    Źródło:
    World Scientific News; 2021, 155; 113-128
    2392-2192
    Pojawia się w:
    World Scientific News
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Some results on centered triangular graceful graphs
    Autorzy:
    Baskar, M.
    Namasivayam, P.
    Syed Ali Nisaya, M. P.
    Mahendran, S.
    Powiązania:
    https://bibliotekanauki.pl/articles/1193414.pdf
    Data publikacji:
    2021
    Wydawca:
    Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
    Tematy:
    Centered triangular numbers
    centered triangular graceful graphs
    centered triangular graceful labeling
    Opis:
    Let G be a graph with p vertices and q edges. The nth centered triangular number is denoted by C_n, where C_n = 1/2 (3n2 - 3n + 2). A centered triangular graceful labeling of a graph G is a one-to-one function f : V (G) → {0,1,…C_q} that induces a bijection f *: E(G) →{C_1 〖,C〗_2,…C_q} of the edges of G defined by f * (e) = │f(u) - f(v)│, for all e = uv ∊ E(G). The graph which admits such labeling is called a centered triangular graceful graph.
    Źródło:
    World Scientific News; 2021, 156; 176-191
    2392-2192
    Pojawia się w:
    World Scientific News
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Second order triangular graceful graphs
    Autorzy:
    Sakthi Sankari, R.
    Syed Ali Nisaya, M. P.
    Powiązania:
    https://bibliotekanauki.pl/articles/1193377.pdf
    Data publikacji:
    2021
    Wydawca:
    Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
    Tematy:
    Second order triangular graceful graph
    Second order triangular graceful labeling
    Second order triangular number
    Opis:
    Let G=(V,E) be a graph with p vertices and q edges. A second order triangular graceful labeling of a graph G is an one to one function φ:V(G)→{0,1,2,…,B_q} where B_q is the qth second order triangular number, ie., B_q=1/6 q(q+1)(2q+1), that induces a bijection φ^*:E(G)→{B_1,B_2,…,B_q} of the edges of G defined by φ^* (uv) =|φ(u)-φ(v)| ∀ e=uv ∈E(G). A graph which admits such labeling is called a second order triangular graceful graph. In this paper, we introduce second order triangular graceful labeling and we prove that star, subdivision of star, nK_1,3, nK_2, bistar, path, comb, coconut tree, shrub and Y-tree are second order triangular graceful graphs.
    Źródło:
    World Scientific News; 2021, 155; 140-154
    2392-2192
    Pojawia się w:
    World Scientific News
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    LMI based stability criterion for uncertain neutral-type neural networks with discrete and distributed delays
    Autorzy:
    Baskar, P.
    Padmanabhan, S.
    Syed Ali, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/2049954.pdf
    Data publikacji:
    2020
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    stability analysis
    neutral networks
    Lyapunov method
    Linear Matrix Inequality
    Opis:
    This paper studies the problem of robust stability analysis for uncertain neutral-type neural networks with discrete and distributed delays. By constructing an appropriate Lyapunov- Krasovskii functional, new delay-dependent criteria are obtained. We utilized the free-weighting matrices approach and bounding lemmas to estimate the derivative of the Lyapunov-Krasovskii functional. The stability criterion are established in terms of linear matrix inequalities (LMIs). Finally, a numerical example is presented to illustrate the effectiveness of the proposed method.
    Źródło:
    Control and Cybernetics; 2020, 49, 1; 77-97
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Higher order triangular graceful labeling of some graphs
    Autorzy:
    Sakthi Sankari, R.
    Syed Ali Nisaya, M. P.
    Powiązania:
    https://bibliotekanauki.pl/articles/1193398.pdf
    Data publikacji:
    2021
    Wydawca:
    Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
    Tematy:
    fifth order
    fifth order triangular graceful graph
    fifth order triangular graceful labeling
    fifth order triangular numbers
    fourth order
    third order
    Opis:
    A (p, q) graph G is said to admit higher order triangular graceful labeling if its vertices can be labeled by the integers from 0 to qth higher order triangular numbers such that the induced edge labels obtained by the absolute difference of the labels of end vertices are the first q higher order triangular numbers. A graph G which admits higher order triangular graceful labeling is called a higher order triangular graceful graph. In this paper, third order, fourth order, fifth order triangular graceful labeling are introduced and third order, fourth order, fifth order triangular graceful labeling of star graph, subdivision of star, nK_2, path, comb, bistar, coconut tree, nK_1,3 are studied.
    Źródło:
    World Scientific News; 2021, 156; 40-61
    2392-2192
    Pojawia się w:
    World Scientific News
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Further results on centered triangular sum graphs
    Autorzy:
    Baskar, M.
    Namasivayam, P.
    Syed Ali Nisaya, M. P.
    Powiązania:
    https://bibliotekanauki.pl/articles/1193390.pdf
    Data publikacji:
    2021
    Wydawca:
    Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
    Tematy:
    Centered triangular numbers
    centered triangular sum graphs
    centered triangular sum labeling
    Opis:
    Let G be a graph with p vertices and q edges. The nth centered triangular number is denoted by M_n, where M_n = 1/2 (3n2 - 3n + 2). A centered triangular sum labeling of a graph G is a one-to-one function : V (G) → N ∪{0} that induces a bijection f *: E(G) →{M_1 〖,M〗_2,…M_q} of the edges of G defined by f * (uv) = f(u) + f(v), for all e = uv ∊ E(G). The graph which admits such labeling is called a centered triangular sum graph. In this article, the centered triangular sum labeling of union of some graphs are studied.
    Źródło:
    World Scientific News; 2021, 156; 13-25
    2392-2192
    Pojawia się w:
    World Scientific News
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Even Vertex Tetrahedral Mean Graphs
    Autorzy:
    Banu, A. Fathima
    Chelliah, S.
    Syed Ali Nisaya, M. P.
    Powiązania:
    https://bibliotekanauki.pl/articles/1193397.pdf
    Data publikacji:
    2021
    Wydawca:
    Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
    Tematy:
    Tetrahedral number
    even vertex tetrahedral mean graph
    even vertex tetrahedral mean labeling
    Opis:
    The nth tetrahedral number is denoted by T_n and is of the form T_n = 1/6 n (n+1) (n+2). A graph G with p vertices and q edges is said to have an even vertex tetrahedral mean labeling if there exists an injective function f: V(G) →{0┤, 2, 4, . . . , 2T_q-2 , ├ 2T_q } such that the induced edge function f^*: E(G) →{T_1,T_(2 , . . .) ,T_q } defined by f^*(uv) = (f(u)+ f(v))/2 ∀ e=uv∈E(G) is a bijection. A graph which admits even vertex tetrahedral mean labeling is called an even vertex tetrahedral mean graph. In this paper, we introduce even vertex tetrahedral mean labeling and we prove that path, star, bistar, coconut tree, caterpillar, shrub, P_(m )@ P_n, banana tree, Y- tree and F-tree are even vertex tetrahedral mean graphs.
    Źródło:
    World Scientific News; 2021, 156; 26-39
    2392-2192
    Pojawia się w:
    World Scientific News
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-8 z 8

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