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SUPER VERTEX MEAN GRAPHS OF ORDER ≤ 7

  • LOURDUSAMY, A.;GEORGE, SHERRY
    • Journal of applied mathematics & informatics
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    • 제35권5_6호
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    • pp.565-586
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    • 2017
  • In this paper we continue to investigate the Super Vertex Mean behaviour of all graphs up to order 5 and all regular graphs up to order 7. Let G(V,E) be a graph with p vertices and q edges. Let f be an injection from E to the set {1,2,3,${\cdots}$,p+q} that induces for each vertex v the label defined by the rule $f^v(v)=Round\;\left({\frac{{\Sigma}_{e{\in}E_v}\;f(e)}{d(v)}}\right)$, where $E_v$ denotes the set of edges in G that are incident at the vertex v, such that the set of all edge labels and the induced vertex labels is {1,2,3,${\cdots}$,p+q}. Such an injective function f is called a super vertex mean labeling of a graph G and G is called a Super Vertex Mean Graph.

GROUP S3 MEAN CORDIAL LABELING FOR STAR RELATED GRAPHS

  • A. LOURDUSAMY;E. VERONISHA
    • Journal of applied mathematics & informatics
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    • 제41권2호
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    • pp.321-330
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    • 2023
  • Let G = (V, E) be a graph. Consider the group S3. Let g : V (G) → S3 be a function. For each edge xy assign the label 1 if ${\lceil}{\frac{o(g(x))+o(g(y))}{2}}{\rceil}$ is odd or 0 otherwise. g is a group S3 mean cordial labeling if |vg(i) - vg(j)| ≤ 1 and |eg(0) - eg(1)| ≤ 1, where vg(i) and eg(y)denote the number of vertices labeled with an element i and number of edges labeled with y (y = 0, 1). The graph G with group S3 mean cordial labeling is called group S3 mean cordial graph. In this paper, we discuss group S3 mean cordial labeling for star related graphs.

A Literature Review on Enterprise Architecture: Towards a Research Agenda

  • Sharmistha Kar;Rahul Thakurta
    • Asia pacific journal of information systems
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    • 제31권3호
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    • pp.296-334
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    • 2021
  • Enterprise Architecture and its management focuses on the integration of business processes and IT infrastructure, and have received considerable attention from the academic and the practice audience. Despite this attention, some lacuna can be observed that questions some of the fundamental pillars of the domain. The current business environment demands in the response to digitalization add to further challenges which call for the need to reconceptualise enterprise architecture to be relevant to the emerging context. We respond to this call by presenting a comprehensive review of the literature concerning enterprise architecture and management to facilitate future work. Our review revealed various facets related to enterprise architecture and enterprise architecture management which we present and discuss here. Further, we also chart out possible areas of future explorations. By doing so, this research lays a foundation for continuing inquiry on enterprise architecture and management, contributing to new knowledge for the field.

What's Next? Connecting the Past and Future of Business-IT Alignment Research

  • Joshy K. X.;Rahul Thakurta
    • Asia pacific journal of information systems
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    • 제32권2호
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    • pp.395-434
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    • 2022
  • The importance of Business-IT alignment has been well emphasized, and the topic has been a top management concern for the past four decades. The current business environment demands in response to digitalization have made Business-IT alignment even more challenging. We take on the challenge in this research by presenting a comprehensive review of the domain of Business-IT alignment, based on a conceptual model which we propose, to facilitate future theoretical work. The review brought out multiple representations of the concept of Business-IT alignment and the characterization of its antecedents, nature, and outcomes. Based on the treatment of the domain in the extant literature, we chart out possible areas of future explorations. By doing so, this research lays a foundation for continuing inquiry on Business-IT alignment and facilitating future theoretical work.

Ascophyllum nodosum and its symbionts: XI. The epiphyte Vertebrata lanosa performs better photosynthetically when attached to Ascophyllum than when alone

  • Garbary, David J.;Miller, Anthony G.;Scrosati, Ricardo A.
    • ALGAE
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    • 제29권4호
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    • pp.321-331
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    • 2014
  • Vertebrata lanosa is an abundant and obligate red algal epiphyte of Ascophyllum nodosum that forms part of a complex and highly integrated symbiotic system that includes the ascomycete, Mycophycias ascophylli. As part of ongoing studies to resolve interactions among species in the symbiosis, we used pulse amplitude modulation fluorimetry of chlorophyll a fluorescence, from photosystem II (PSII), to measure the maximum quantum yield ($F_v/F_m$) of PSII [$QY(II)_{max}$] and relative photosynthetic electron transport rates (rETR), as a function of light intensity, in order to evaluate the photosynthetic capacity of the two algal symbionts in the field and in the laboratory under different treatments. Our primary question was 'Is the ecological integration of these species reflected in a corresponding physiological integration involving photosynthetic process?' In the laboratory we measured changes in $QY(II)_{max}$ in thalli of V. lanosa and A. nodosum over one week periods when maintained together in either attached or detached treatments or when maintained separated from each other. While the $QY(II)_{max}$ of PSII of A. nodosum remained high and showed no significant variation among treatments, V. lanosa showed decreasing performance in the following conditions: V. lanosa attached to A. nodosum, V. lanosa in the same culture, but not attached to A. nodosum, and V. lanosa alone. These results are consistent with observations in which rETR was reduced in V. lanosa maintained alone versus attached to A. nodosum. Values for $QY(II)_{max}$ in V. lanosa measured in the field in fully submerged thalli were similar to those measured in the laboratory when V. lanosa was attached to it obligate host A. nodosum. Our results provide evidence of a physiological association of the epiphyte and its host that reflects the known ecology.

Conformally Flat Quasi-Einstein Spaces

  • Chand De, Uday;Sengupta, Joydeep;Saha, Diptiman
    • Kyungpook Mathematical Journal
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    • 제46권3호
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    • pp.417-423
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    • 2006
  • The object of the present paper is to study a conformally flat quasi-Einstein space and its hypersurface.

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Effects of land-based fish farm effluent on the morphology and growth of Ascophyllum nodosum (Fucales, Phaeophyceae) in southwestern Nova Scotia

  • White, Katelyn L.;Kim, Jang-Kyun;Garbary, David J.
    • ALGAE
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    • 제26권3호
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    • pp.253-263
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    • 2011
  • Phenotypic plasticity was examined in the economically and ecologically important brown alga Ascophyllum nodosum in southwestern Nova Scotia, considering specifically how nutrient loading affected its vegetative and reproductive features. To determine this, we examined morphometric changes in A. nodosum from two sites receiving direct effluent impacts from a land-based finfish aquaculture facility and from two control sites, approximately 2 km away from the aquaculture facility in opposite directions. Fronds from test sites were significantly younger than from control sites (5 y vs. 8 y); however, fronds from farm sites were significantly larger (219 g vs. 90 g) because of their higher growth rates. Thalli from farm sites had greater reproductive potential, as shown by numbers of receptacle initials (797 initials vs. 281 initials). These results suggest limited nutrient inflows from land-based aquaculture may positively affect adjacent Ascophyllum populations by inducing higher growth rates. We conclude that the coordination of effluent management from land-based aquaculture with natural resource harvesting of A. nodosum may be beneficial. Further study is necessary to determine the limits of nutrient loading for this potentially beneficial outcome.

Ascophyllum and Its Symbionts. VII. Three-way Interactions Among Ascophyllum nodosum (Phaeophyceae), Mycophycias ascophylli (Ascomycetes) and Vertebrata lanosa (Rhodophyta)

  • Garbary, David J.;Deckert, Ron J.;Hubbard, Charlene B.
    • ALGAE
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    • 제20권4호
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    • pp.353-361
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    • 2005
  • Ascophyllum nodosum (L.) Le Jolis has a systemic infection with the ascomycete Mycophycias ascophylli (Cotton) Kohlmeyer and Volkmann-Kohlmeyer with which it establishese a mutualistic symbiosis. In addition, A. nodosum is the host for the obligate red algal epiphyte, Vertebrata lanosa (L.) Christensen. Using light and electron microscopy we describe morphological and cytochemical changes occurring as a consequence of rhizoid penetration of V. lanosa into cortical host tissue. Rhizoids induce localized cell necrosis based on physical damage during rhizoid penetration. Host cells adjacent to the rhizoid selectively undergo a hypersensitive reaction in which they become darkly pigmented and become foci for hyphal development. Light and electron microscopy show that M. ascophylli forms dense hyphal aggregations on the surface of the V. lanosa rhizoid and extensive endophytic hyphal growths in the rhizoid wall. This is the first morphological evidence of an interaction between M. ascophylli and V. lanosa. We speculate that M. ascophylli may be interacting with V. lanosa to limit tissue damage to their shared host. In addition, the fungus provides a potential pathway for the transfer of materials (e.g., nutrients and photosynthate) between the two phototrophs.