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Integral sum graphs from identification

1998
*
Discrete Mathematics
*

In this paper, we first introduce some methods of

doi:10.1016/s0012-365x(97)00046-0
fatcat:rsliaguf75fcxiyxqsxlz4vcuq
*identification*on constructing new connected*integral**sum**graphs**from*given*integral**sum**graphs*. ... The idea of*integral**sum**graphs*was introduced by Harary (1994) . ... In the present paper, we shall present some methods on constructing new connected*integral**sum**graphs**from*given*integral**sum**graphs*by*identification*. ...##
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On integral sum graphs

2006
*
Discrete Mathematics
*

We introduce a method of

doi:10.1016/j.disc.2005.10.021
fatcat:me6eliqomnb4ra4kww3iftnigy
*identification*on constructing new connected*integral**sum**graphs**from*given*integral**sum**graphs*with a saturated node. ... We determine the structure for all*integral**sum**graphs*with exactly two saturated nodes, and give an upper bound for the number of edges of a connected*integral**sum**graph*with no saturated nodes. ... In [1] we introduced some methods on constructing new connected*integral**sum**graphs**from*given*integral**sum**graphs*by*identification*. ...##
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Theory of Classical Fluids: Hyper-Netted Chain Approximation. III

1960
*
Progress of theoretical physics
*

The pair distribution function in our approximation is shown to satisfy a new

doi:10.1143/ptp.23.829
fatcat:h4mndlowwvfttii5c4ttgi2lcq
*integral*equation, which is compared with the Yvon, Born and Green one. ... ZS' ZI ZI ZS' Then, the contribu~ion to be subtracted is*from*the*graph*: In the previous section, we have*summed*up the contribution of the*graphs*which can be reduced to a line or a ring by*identifications*... Mayer 4 ) introduced*graphs*to illustrate the*integrals*in the*sums*of the righthand side of (2), (4) and (6) . ...##
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Page 7570 of Mathematical Reviews Vol. , Issue 98M
[page]

1998
*
Mathematical Reviews
*

In the present paper the author first introduces some methods of

*identification*for constructing new connected*integral**sum**graphs**from*given*integral**sum**graphs*. ... The other is related to the chessboards in the theory of rook polynomials.” 98m:05171 05C78 Chen, Zhibo (1-PASK; McKeesport, PA)*Integral**sum**graphs**from**identification*. ...##
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On integral sum graphs with a saturated vertex

2010
*
Czechoslovak Mathematical Journal
*

To show a

doi:10.1007/s10587-010-0061-z
fatcat:7hrdp5zbbjaavctrm7gwysgwf4
*graph*G is an*integral**sum**graph*, we may try to find an*integral**sum*labeling directly, or we may use some undirect methods such as the methods of*identification*(see [3] , [4] , [9] and ... Preliminaries*From*now on, we use the notation G + {a 1 , a 2 , . . . , a p } to denote an (*integral*)*sum**graph*with an (*integral*)*sum**graph*labeling such that the vertices of G are labeled by the integers ...##
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Page 1051 of None Vol. 120, Issue 3
[page]

1960
*
None
*

A much more straightforward procedure is to

*sum*over the + operators in each order of the iteration, so that the*identification*of contributions as originating*from*specific*graphs*is lost. ... —"/ We (=) = 32x' ( 6 Sie f f ) [The A*integrals*arise*from*one-meson, the B*integrals**from*contributions to R,(0;q).] The contributions to the various*graphs*are given in Table I and Fig. 2. ...##
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Theory of Classical Fluids: Hyper-Netted Chain Approximation, I

1958
*
Progress of theoretical physics
*

We group the latters by the

doi:10.1143/ptp.20.920
fatcat:nqgzhgbypzfj3m77slf7dw2roa
*graphs*of junctions which are obtained*from*them after a sequence of*identifications*is applied until they come to have no identifiable lines and then the points other than ... We will start with*graphs*for which the times of*identification*are small and proceed to those with larger and larger times of*identification*. ...##
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Optimal weighting of bimodal biometric information with specific application to audio–visual person identification

2009
*
Information Fusion
*

A new method is proposed to estimate the optimal weighting parameter for combining audio (speech) and visual (face) information in person

doi:10.1016/j.inffus.2008.08.003
fatcat:wecbvahnn5em3j6rnfupczj6b4
*identification*, based on estimating probability density functions ... Of all the approaches based on late*integration*, the simplest use some fixed fusion rule, e.g., the*sum*rule, product rule etc. (Kittler et al., 1998; Duin, 2002) . ... During*identification*, matching takes place by the adaptive formation of an image*graph*to match best a given model*graph*. ...##
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Detection of Infeasible Paths in Software Testing using UML Application to Gold Vending Machine

2017
*
International Journal of Education and Management Engineering
*

For detection of these infeasible paths, the author builds the control flow

doi:10.5815/ijeme.2017.04.03
fatcat:zvrvnvgs4reunkwzhpiop5p5yq
*graph**from*sequence diagram and then generated independent paths*from*it. ... The basis path testing approach involves generation of test cases*from*a set of independent paths. Each test case is forced to execute a certain test path of the control flow*graph*. ... We build the control flow*graph**from*a sequence diagram and then generate independent paths*from*it. ...##
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Theory of Classical Fluids and the Convolution Approximation (Note on Papers by Tohru Morita)

1960
*
Progress of theoretical physics
*

The convolution approximation results also

doi:10.1143/ptp.24.588
fatcat:3xpyv7xrybbfzcqkpmq6p7n3z4
*from*neglecting the non-convolutory terms in an exact*integral*equation for the pair distribution function. ... The limit of the nodal expansion sequence results-in an approximate*integral*equation for the potential of average force. ... and ((x) the*sum*of Cluster*integrals*defined in the same way as the*integrals*of the density expansions of potentials of average force, except that each line corresponds to a density dependent function ...##
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Explicit Generation of Integer Solutions via CY Mfds
[article]

2005
*
arXiv
*
pre-print

These metrics are derived

arXiv:physics/0509027v1
fatcat:y5pvap4pszcfpaukyg446f6qwq
*from*an associated algebraic curve, together with its anti-holomorphic counterpart. ... These coefficients can be found*from*the classical*graph*count. ... These*identifications*are found in closed form. ...##
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Free field theory as a string theory?

2004
*
Comptes rendus. Physique
*

We show how the relevant closed string moduli space emerges

doi:10.1016/j.crhy.2004.10.004
fatcat:pmannuhf65hwbldz5hcdpick3q
*from*a reorganisation of the Feynman diagrams contributing to free field correlators. ... Our n-point function has been expressed as a*sum*of contributions*from*the moduli space of skeleton*graphs*. ... By which we mean that we are*integrating*over the lengths τ of the edges of the skeleton*graphs*as well as*summing*over inequivalent skeleton*graphs*. ...##
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Combinatorics of mapping class groups and matrix integration

1991
*
Nuclear Physics B - Proceedings Supplements
*

Koplik Neveu and Nussinov then suggested a drastic reduction to a zero-dimensional toy model (simple m~egrats) m order to mluers~and the purely combinatorial aspects, using techniques

doi:10.1016/0920-5632(91)90132-x
fatcat:4umeo7qf35ganav422o7ossfna
*from**graph*theory ... It is noticeable that in a different mathematical context Penner used matrix*integration*to i! ... In the above*integral*expression for (t[~n] Figure 2 : 2 (a) Pair wise*identification*of a 2n-gon, (b) associated marguerite*graph*, (c) initial*graph*obtained by gluing the sides. ...##
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Combinatorics of Mapping Class Groups and Matrix Integration
[chapter]

1992
*
Quantum Mechanics of Fundamental Systems 3
*

Koplik Neveu and Nussinov then suggested a drastic reduction to a zero-dimensional toy model (simple m~egrats) m order to mluers~and the purely combinatorial aspects, using techniques

doi:10.1007/978-1-4615-3374-0_7
fatcat:erfpbbunwfhddcqaz5c73sefii
*from**graph*theory ... It is noticeable that in a different mathematical context Penner used matrix*integration*to i! ... In the above*integral*expression for (t[~n] Figure 2 : 2 (a) Pair wise*identification*of a 2n-gon, (b) associated marguerite*graph*, (c) initial*graph*obtained by gluing the sides. ...##
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Probabilistic Framework for Integration of Mass Spectrum and Retention Time Information in Small Molecule Identification
[article]

2020
*
biorxiv/medrxiv
*
pre-print

Results: We put forward a probabilistic modelling framework to

doi:10.1101/2020.08.19.255653
fatcat:uhit4cmq2zhkvmschkezkxgode
*integrate*MS and RT data of multiple features in an LC-MS experiment. ... Recently, there has been increasing interest in utilizing other information sources, such as liquid chromatography (LC) retention time (RT), to improve the MS based*identifications*. ... Comparison to other approaches In Table 2 , we compare the performance of our score-*integration*framework with other approaches*from*the literature that utilize RT information for metabolite*identification*...
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