A compilation of relations between graph invariants

Brigham, Robert C.; Dutton, Ronald D.

doi:10.1002/net.3230150108

Cited by 23 publications

(8 citation statements)

References 55 publications

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“…During the 2010 cropping season, national sesame productivity was 8.52 quintals per hectare [3] . This is far less than the Global average which is 22.5 quintals per hectare [10] . Diseases are reported to cause a considerable yield loss elsewhere in the World [4] .…”

Section: Introductionmentioning

confidence: 69%

Field evaluation of different fungicides for their effectiveness against cercospora leaf spot (Cercospora sesame Zimm.) of Sesame (Sesamum indicum L.)

Teshome¹,

Dagne²

2021

Acta Entomol. Zool.

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Sesame (Sesamum indicum) is one of the well known oil crop produced and Ethiopia is one of the major producer country of the crop in the world. The Field experiment was conducted for two years (2015/2017 GC) at Delo-mena site of Sinana Agricultural Research Center (SARC) with the objective of identify effective fungicides for the management of Cercospora leaf spot of Sesame. The trial was arranged in RCB Design with three replication and the treatment fungicides were; Odeon 825 WDG, Mancozeb 80% WP, Natura 250 EW, Ridomil Gold MZ 68 WG, RexDuo, Tilt 250 EC and unsprayed control were included for treatment comparison. The highest Cercospora leafspot disease severity of 41.11% and the lowest (5.00%) were recorded from unsprayed control and Tilt 250 EC treated plots, respectively. Similarly, the highest AUDPC (1474.67%-days) and r (0.038292 units -1 ) and the lowest AUDPC (165.67%-days) and r (-0.004976units -1 ) were similarly calculated from unsprayed control and from Tilt 250 EC treated plots, respectively. Regarding yield and yield related traits; ANOVA has shown significant variations (P<0.05) between treatments for the TKW and grain yield. The highest number of TKW (3.27 g) and grain yield (618.98 kg/ha) were recorded from a plot sprayed with Tilt 250 EC treated plot; while the lowest number of TKW (2.80 g) and grain yield (457.87 kg/ha) were recorded from unsprayed control plot. Simple linear regression of TKW and grain yield with Cercospora leaf spot severity and AUDPC have revealed a significant difference (P<0.05) between treatments; the estimated slope of the regression line obtained for Cercospora leaf spot severity in relation to grain yield was -3.36 and for AUDPC was-0.093. The Correlation of grain yield with Cercospora leaf spot disease severity and AUDPC has depicted that Cercospora leaf spot disease severity and AUDPC has a significant negative correlation with grain yield (r= -0.4821, P<0.05) and (r= -0.4834, P<0.05), respectively. Therefore, based on the result of this study, a fungicide Tilt 250 EC is recommended for the management of Cercospora leaf spot disease on Sesame at both small scale and large scale production level.

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Section: Introductionmentioning

confidence: 69%

Field evaluation of different fungicides for their effectiveness against cercospora leaf spot (Cercospora sesame Zimm.) of Sesame (Sesamum indicum L.)

Teshome¹,

Dagne²

2021

Acta Entomol. Zool.

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“…Proof: First part of the inequality follows from Corollary 4.1 and the fact that for any graph G, ω(G) ≤ χ(G). For the other part, we use the following result from [5]:…”

Section: Maximal Cliques In γ(V)mentioning

confidence: 99%

On nonzero component graph of vector spaces over finite fields

Das

2017

J. Algebra Appl.

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In this paper, we study nonzero component graph Γ(V) of a finite-dimensional vector space V over a finite field F. We show that the graph is Hamiltonian and not Eulerian. We also characterize the maximal cliques in Γ(V) and show that there exists two classes of maximal cliques in Γ(V). We also find the exact clique number of Γ(V) for some particular cases. Moreover, we provide some results on size, edge-connectivity and chromatic number of Γ(V).

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“…Theorem 3 may be used with the following result from [3], which relates diameter and domination number, to give the corollary.…”

Section: Domination Numbermentioning

confidence: 99%

Applications of E‐graphs in network design

Haynes

Lawson

1993

Networks

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In this paper, we introduce a construction that produces graphs, called €-graphs, by replacing the edges in a core graph with a copy of a given graph. These graphs are generalizations of several graphs that have recently been presented as models for network designs, including the G-network and its extensions. We discuss several invariant properties of these graphs with emphasis on those of interest in network design, such as number of edges, diameter, and domination number. 0 7993 by John Wiley 8 Sons, Inc.

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A compilation of relations between graph invariants

Cited by 23 publications

References 55 publications

Field evaluation of different fungicides for their effectiveness against cercospora leaf spot (Cercospora sesame Zimm.) of Sesame (Sesamum indicum L.)

Field evaluation of different fungicides for their effectiveness against cercospora leaf spot (Cercospora sesame Zimm.) of Sesame (Sesamum indicum L.)

On nonzero component graph of vector spaces over finite fields

Applications of E‐graphs in network design

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