the graphs below show the numbers of male and female workers in 1975 and 1995 in several employment sectors of the republic of freedonia doc pdf p 25 26
... also made gains in both the finance/banking industries andinthe defence-related public sector Whereas some 125 000 women worked in finance and banking institutions in 1975, the number increased ... answer: The two decades between 1975and1995 brought significant changes inthe representation of women inFreedonia' s work force, according to thegraphsIn 1975, for example, some 300 000 men and ... by 1995The number of men grew only marginally from 425 000 to 480 000 over the same period In defence, the number of men declined from 225 000 to 200 000, while the number of women rose from 25...
... the population continuing to buy pop CDs after the age of 45 The interest in rock music reaches its peak among the25 to 34 year olds, though it never sells as well as pop Interest also drops off ... model answer: The three graphs provide an overview ofthe types of music people purchase inthe UK At first glance we see that classical music is far less popular than pop or rock music While ... buy pop music, the rock market is dominated by men with 30% buying rock, compared to 17% of women From the first graph we see that interest in pop music is steady from age 16 to 44 with 20% of the...
... found approximately 10,000 different partitions of [1, 160]; of these, four are symmetric These 10,000 partitions are all “close” to each other In other words, one can begin with one ofthe partitions, ... i=1 s,t∈Si and finally f (P ) = c1 f1 (P ) + c2 f2 (P ) REFERENCES For appropriate positive constants c1 and c2 , f (P ) is the objective function for our maximization problem In practice, we ... of functions seems to work particularly well To define our function, let P be a partition of [1, n], and let P = {S1 , , Sk } For ≤ t ≤ n, let Pt denote the partition of [1, t] induced by P...
... Here is the examiners comment: The writer does what is required of her in terms of task fulfilment, andthe message can be followed, but the weaknesses in grammatical control andin spelling cause ... Therefore in1995 there were about 15 millions people went abroad I am going to write about the other chart, which is Australians share of Japaneses tourist market This is also between 1985 and ... This chart shows us that Japanese tourists go abroad for travelling in a decade and Australians share of marketing for Japanese tourists Between 1985 and1995 Japanese tourists travelling abroad...
... 9, 10 The number of unknown γ(n, δ) can be reduced further by using the upper bounds given in Proposition 3.1 (taking s = 1) and Reed’s Theorem See Table for upper bounds computed using Proposition ... graphs having domination number half their order, Period Math Hungar 16 (1985), 287–293 T W Haynes, Domination in graphs: a brief overview, preprint W McCuaig and B Shepherd, Domination ingraphs ... to compute domination numbers For example we use Propostion 4.1 below to reduce the determination of γ(10, 5) to the determination of γr (10, 5) Then we search through all 5-regular graphsof order...
... for the 14 groups of order 16 and Cayley graphsof groups of orders up to 31 References [1] Brian Alspach, Isomorphism and Cayley Graphs on Abelian Groups, Graph symmetry (Montreal, PQ, 1996), 1–22, ... Domination NumbersofGraphs with Given Order and Minimum Degree, Electron J Combin (1997), no 1, Research Paper 26, 1 25 [3] W Edwin Clark, David Fisher, Boris Shekhtman, and Stephen Suen, Upperbounds ... Mathematics (Univ Manitoba, Winnipeg, Man , 1971), pp 1–14 Dept Comput Sci., Univ Manitoba, Winnipeg, Man., 1971 [5] David C Fisher and Anne Spalding, Domination of circulant graphs: an example...
... generalizing the maximum rectilinear crossing number of Cn and Kn to the more general class Rn,d of d-regular graphsof order n Finding the minimum rectilinear crossing number ofthe complete graph, ... copies of C4 if n ≡ (mod 4) and there are copies of C4 and one copy of C6 if n ≡ (mod 4) 3.3 Alternate proof of CR(Cn) Inthe same vein as the above proof for CR(Rn,2 ) we now offer a simpler proof ... j edge, the i edges inthe halfplane of one endvertex cannot intersect the d − j − edges inthe opposite halfplane emanating from the other endvertex Thethe electronic journal of combinatorics...
... answer: Thegraphs compare the number of deaths caused by six diseases in Someland in 1990 with the amount of research funding allocated to each of those diseases It can be clearly seen that the ... be clearly seen that the amount of research funding in many cases did not correlate with the seriousness ofthe disease in terms ofnumbersof deaths In 1990 there were around 0.2 million deaths ... amount of funding allocated for each disease In 1990 AIDS received 180 million dollars in research funding, leprosy 80 million dollars in research funding, tropical diseases 79 million dollars in...
... 1995In 1995, 90% of women in Someland had completed secondary education andof those, half had graduated from an initial degree and 20% had gone on to postgraduate studies At the other end of ... completed primary school, 35% had no schooling at all and 35% only completed the third grade In conclusion, we can see that inthe 50 years from 1945 to 1995 there have been huge positive developments ... ofthe scale we can see that by 1995 all girls were completing lower secondary, although 10% ended their schooling at this point This is in stark contrast with 1945 when only 30% of girls completed...
... reducibility ofthe periodic point classes of f Proposition 4.1 The two periodic point classes p Fix f n andp Fix τ f n of f with period n are the same periodic point class if and only if the homomorphism ... {n ∈ N | NPn f / 0} The purpose of this paper is to give a complete computation ofthe two Nielsen type numbers NPn f and NFn f for all maps on the real projective plane RP2 Preliminaries We ... to the periodic point class of period if fπ is the identity, the two distinct periodic point classes p Fix f n andp Fix τ f n of f lie in different periodic orbits Moreover, the periodic point...
... 0.01 In practice, we avoid the use ofthe subscripts, and use the simpler notation p( i) and p( i, j) instead of pX (i) and pXY (i, j) Since the condition of independence between two variables (protein ... protein, since p( i) or p( j) is in fact the “typical” probability distribution of amino acids as observed in most proteins, while p( i, j) is the “typical” probability of finding the amino acids i and ... joint PXY andthe product ofthe marginals PX PY If we have independence, then PXY ≡ PX PY , andthe divergence equals zero On the contrary, if it appears that X and Y are tied by a certain degree...
... and proofread public domain works Despite these efforts, the Project's etexts and any medium they may be on may contain "Defects" Among other things, Defects may take the form of incomplete, inaccurate ... expense, a copy ofthe etext in its original plain ASCII form (or in EBCDIC or other equivalent proprietary form) [2] Honor the etext refund and replacement provisions of this "Small Print!" statement ... continents; mirrors are listed at http://promo.net/pg) Mac users, NOT point and click, typing works better Example FTP session: ftp metalab.unc.edu login: anonymous password: your@login cd pub/docs/books/gutenberg...
... D-hypergraph is a classical hypergraph [1] and its lower chromatic number is the chromatic number introduced by Erd˝s and Hajnal in 1966 [3] o In this paper the concepts of strict colouring and ... ∪X2 ∪X3 and that the pair {3, 4} appears in a block containing {1}, so without loss of generality we can share the blocks of TX1 ∪X2 ∪X3 inthe following way: the electronic journal of combinatorics ... University of Catania, (1996) [11] V I Voloshin: The mixed hypergraph Comput J Moldova (1993), 45–52 [12] V I Voloshin: On the upper chromatic number of a hypergraph Australasian J Combin 11 (1995) , 25 45...
... size of a dominating set for Qn ; a dominating set of this size is a minimum dominating set Let i(Qn ) denote the minimum size of an independent dominating set for Qn The problems of finding values ... discussed inthe previous section Once we have chosen the size ofthe board andthe type of cover, the theory developed is first used to find admissible values ofthe parameter e and positions ofthe ... given parenthetically The kind of dominating set is given (all p- covers used are type A), then the values of e, f , u, the excess lines, and finally the squares ofthe set i(Q26 ) ∈ {13, 14} and...
... Chan The distinguishing number ofthe direct product and wreath product action To appear inthe Journal of Algebraic Combinatorics [6] M Chan The maximum distinguishing number of a group To appear ... computing the distinguishing numbersof rooted trees Distinguishing labelings of rooted trees In this section, we give a characterization ofthe distinguishing labelings of rooted tree T , andshow ... consists of all the automorphisms of (G, φ) We define the automorphisms of rooted graphsand rooted labeled graphsinthe same way with the extra condition that the root of a graph must always be mapped...
... φ((π, f )) = (π, f ) Otherwise, let (i, j) ∈ R(π,f ) be minimal under the lexicographic ordering of R(π,f ) Let π = (i, j) ◦ π, the product ofthe transposition (i, j) and π in Sn Note that, if ... Acknowledgments The author thanks Herbert Wilf and Janet Beissinger, who was the first to explore [1] combinatorial proofs using colored permutations, for their assistance References [1] Janet Beissinger ... left-multiplication by (i, j) splits the cycle Kπ (i) into two cycles; if Kπ (i) = Kπ (j), left-multiplication by (i, j) concatenates the distinct cycles Kπ (i) and Kπ (j) into a single ˜ cycle Since...