... k−1 (1) The second ingredient of our proof is the following result of Stiebitz Lemma ([5]) Let G be a k-critical graph containing at least one vertex of degree k − Then thenumberof connected ... 1) 2(k (5) the electronic journal of combinatorics (1998), #R4 as claimed A more detailed treatment ofthe problem, containing lower and upper bounds on the minimal numberof edges in a k-critical ... journal of combinatorics (1998), #R4 Let r be thenumberof connected components of H(G), then trivially |E(H(G))| ≥ nH − r (2) Also, by Lemma 3, thenumberof connected components of L(G) is...
... Establishing and maintaining the relationships with countries, governmental and nongovernmental organizations and individuals inthe region and around the world inthe training and research inthe ... expenditures inthe following order: - Deducting at least 25% for setting up the nonbusiness operation development fund; - Paying increased incomes to laborers The payment of increased incomes to ... interests of, laborers in terms of wages, remunerations, social insurance, health insurance, P a g e 16 professional training and retraining in accordance with the provisions of law - To organize the...
... (p0), the peptide (0.1–2 lm) was injected into the subphase, and the increment in surface pressure ofthe LPS film upon intercalation ofthe peptide dissolved inthe subphase was monitored for the ... 0.5 indicates synergy; see Experimental procedures] To obtain insights into the mode of action underlying the synergistic activity, we investigated the bactericidal action ofthe combination of ... (Fig 10) The exposure of · 107 cellsÆmL)1 at the corresponding MIC of Esc(1–18) resulted in an irregular rod form with a deep wrinkling ofthe cell surface (within min) However, all of these changes...
... to eighteen strata [24] The probability of selecting an institution was inversely proportional to thenumberof institutions in its stratum and proportional to its numberof beds Eight subjects ... (number of subjects inthe institution /number of available beds), and the answer refusal rate (higher in psychiatric centres) In 1998, 2,075 institutions were selected and 155 of them (7.5%) refused ... size of household, type of household and geographical area size based on the latter survey For the institution survey, weights included size of strata, the institution occupation rate (number of...
... v(G) denote thenumberof vertices, and (G) denote thenumberof edges In this paper, we construct a graph G having no two cycles with the same length which leads to the following result Theorem ... 32t − 17t+1 Then f (n) ≥ n + 32t − 1, for n ≥ nt This completes the proof ofthe theorem From the above theorem, we have f (n) − n 2562 √ ≥ 2+ , n 6911 √ 487 which is better than the previous ... [5] Chunhui Lai, On the size of graphs with all cycle having distinct length, Discrete Math 122(1993) 363-364 [6] Chunhui Lai, The edges in a graph in which no two cycles have the same length, J...
... considered colorings of graphs inthe class U of intersection graphs of unit disks inthe plane They proved that finding chromatic numberof graphs in U is an NP -complete problem In [6, 18], and ... derive Theorem Proof of Theorem Let A be a member of a set M = {Mi } of translates of a centrally symmetric convex set inthe plane such that the clique numberofthe intersection graph H(M) of M ... also sharp Then we consider a more general setting: shrinking and blowing ofthe figures are now allowed Theorem Let H be the intersection graph of a family F of homothetic copies of a fixed convex...
... numberof edges in Γπ,0 equals thenumberof permutations σ that are covered by π inthe strong Bruhat1 order on Sn , and thenumberof edges in Gπ,0 equals the degree ofthe vertex π inthe Hasse2 ... and the proof of Theorem 1.2 Edge bounds in Gπ,s In this section we prove Theorem 1.3, which gives bounds on the maximum numberof edges in Gπ,s with π ∈ Sn Proof of Theorem 1.3 We start with the ... obtain an upper bound on the size of such graphs The last section ofthe paper contains some concluding remarks the electronic journal of combinatorics 13 (2006), #R44 Maximum numberof edges in...
... contribution to the permanent) Thus the square ofthenumberof perfect matchings is at most the permanent ofthe adjacency matrix, and the desired inequality follows from Bregman-Minc by taking the square ... permutation of rows and columns A is a block diagonal matrix in which each block is a square all-1 matrix Proof of Theorem 1.1: The square ofthenumberof perfect matchings of G counts ordered pairs of ... every cycle of length exceeding in H there are two ways to decide which edges came from M1 and which from M2 The permanent ofthe adjacency matrix A of G also counts thenumberof spanning 2-regular...
... version of Theorem 1.1 Theorem 3.4 If G embeds inthe projective plane with face–width at least r ≥ 6, then the crossing number crg (G) of G inthe plane is at least 36 r Estimating the crossing number ... -times since we have a free choice of selecting the remaining Mg − cycles from C to form C ⊇ {e, f } of size Mg + Hence the counting argument yields that the k k−2 total numberof crossings in D ... We remark that cr0 , the crossing numberinthe sphere, coincides with the “usual” crossing numberinthe plane Our strategy for proving Theorem 1.1 is to show the existence of sufficiently large...
... all these choices to get the numerator ofthe right-hand side of (4.10) Divide this numberof choices by thenumberof permutations of {1, , rn} to deduce the lemma Using the methods inthe ... shows the inequality between the last term ofthe first line and the first term inthe second line of (3.10) For graphs consisting of more than two cycles or paths there is no total ordering by ... denote A := r Ai Let m ∈ min(p, q) Then permm A is thenumber i=1 of m-matchings of G := ∨r Gi , which is equal to thenumberof m-matchings obtained i=1 inthe following way Consider m1 , ...
... reduces the problem of finding the Ramsey numberof a path or a cycle to finding the Ramsey numberof a connected matching An additional - usually technical - difficulty is that the coloring is not on the ... and prove the Ramsey-type form of our main result, it determines the exact value ofthe Ramsey numberof a diamond-matching the electronic journal of combinatorics 15 (2008), #R126 Theorem For ... proof In fact, the proof method of Theorem can be copied to determine the 3-colored Ramsey numberofthe diamond-matching as well Theorem For every k ≥ 1, r ≥ 2, R(kDr , kDr , kDr ) = 2kr − Proof...
... inversion of tags This is a generalization ofthe method used in [T] to count thenumberof elements inthe mutation class of quivers of Dynkin type An Here we are strongly using the ideas in ... loops the electronic journal of combinatorics 16 (2009), #R49 ′ ǫ ǫ The crossing number e(Ma,b , Nc,d ) is the minimal numberof intersection of represenǫ ǫ′ tations of Ma,b and Nc,d inthe interior ... Corollary 5.8 Thenumber d(n) of elements inthe mutation class of any quiver of type Dn is equal to thenumberof triangulations ofthe punctured regular n polygon up to rotations and inverting all...
... sum, instead ofthe three-fold sum stated inthe main theorem Finally, at the end of Section we prove the formula for thenumberof quivers inthe mutation class of type Dn , by exhibiting an ... Additionally, we obtain thenumberof quivers inthe mutation class of a quiver of Dynkin type Dn This formula was first determined in [5]: Corollary Thenumberof quivers of type Dn , for n ≥ ... particular, the weight of Q depends only on the orientation ofthe base arrow and on the total numberof vertices and 3-cycles of Q Passing to generating functions, the electronic journal of combinatorics...
... occupations The northern part of Vietnam was strongly influenced by the Chinese culture due to 1,000 years of dominance ofthe Chinese feudalism In general, the Vietnamese people are hospitable and industrious ... vision ofthe future for organizations which grow continuously Visionary for leaders should create inspiring and innovative visions their organizations rendering them credible inthe eyes ofthe people ... involvement ofthe group member inthe mission, challenging goals ofthe group member and belief inthe accomplishment ofthe mission Later, these nine effects were statistically clustered into three...
... Unfortunately, the demand of banking employees is forecasted to be inthe down –trend inthe next few years According to the point of view of specialists in banking industry, many banks will cut off theemployees ... impact on the job performance, the result indicated that the belonging needs is the factor has the highest impact on the job performance inthe point of view ofemployeesin banking industry in Viet ... comparing with the total sample This study gives an interesting result about thenumberof years ofthe respondents With thenumberof years at the bank inthe range from to 10 years Most of respondents...
... Reporting the results of data analysis, o Discussing the findings Chapter 3: Recommendations o Proposing recommendations according to the achieved findings, o Discussing future trends ofthe ... towards his/her organization originating from weighing the costs and benefits associated with leaving, and the sense of obligation to maintain intheorganization 17 1.2.2 Levels of job commitment: ... the willingness to exert efforts to remain with theorganization (Reichers, 1985) The only reason that makes employees stay is that they are taking the costs of leaving into consideration, in...
... L in kin g Cp ’s a n d Cq , q > p, b y e d g e s L in kin g n Cp ’s a n d Cq , q > p, b y n + e d g e s , wh e r e n ≥ 1 2) Linking gr aphs with edges so as to attain some ... e a d d e d t o n d is jo in t g r a p h s wit h m in im iz in g t h e d ia m e t e r o f t h e r e s u lt in g g r a p h in m in d A s − → d ( k) is a d e c r e a s in g fu n c t io n o f k, ... a in e d wh e n p e d g e s a re a d d e d b e t we e n Kp a n d Cp in o f a p e r fe c t m a t c h in g In a t h e m e t h a t will fe a t u r e p r o m in e n t ly fo r t h e r e m a in in...
... loyalty is the "intention or desire to maintain membership ofthe organization" Mowday's famous definition of loyalty is similar to the concept of "Maintain" inthe research of Aon Consulting Institute ... LITERATURE REVIEW 2.1 Theoretical literature: 2.1.1 Approaches inthe study ofthe loyalty of employees: There are many approaches inthe study ofthe loyalty ofemployeesin businesses Loyalty can ... management of human resources ofthe businesses 1.3 Research questions: The research aims to address the following questions: (1) What are the determinants ofthe loyalty ofemployeesin businesses in...
... playing the vital role inthe performance ofthe leaders and the efficiency of leadership skills 1.2 STATEMENT OFTHE PROBLEM This study attempts to examine the relationship between ... employed for the purposes of this study Step 1: Administer Questionares to both the leader and subordinate inthe enterprises in Ha noi Step 2: Capture the data and inspect the data using descriptive ... Summary of Findings There exists a relationship between leadership styles and employee performance The results ofthe linear regression analysis indicate that, at the 5% level of significance, there...