What are the Latest Trends in Career Pathing Models as Well as the Most Effective Ways to Accelerate High Potential Development?

The war for talent is raging, making attracting, retaining, and developing high-performers more challenging than ever. Many of the “Baby Boomer” executives will be retiring in the near future, and only 15% of organizations in North America and Asia believe they have sufficient qualified successors for key positions. Additionally, 25% of surveyed organizations said they fail to keep top-performers, further illustrating the urgency and importance of the need to design optimal programs for developing future leaders. Thus, the content below will provide insight into the factors that make development program for “high potentials” successful

The face pair of planar graphs

AbstractHarary and Kovacs [Smallest graphs with given girth pair, Caribbean J. Math. 1 (1982) 24–26] have introduced a generalization of the standard cage question—r-regular graphs with given odd and even girth pair. The pair (ω,ε) is the girth pair of graph G if the shortest odd and even cycles of G have lengths ω and ε, respectively, and denote the number of vertices in the (r,ω,ε)-cage by f(r,ω,ε). Campbell [On the face pair of cubic planar graph, Utilitas Math. 48 (1995) 145–153] looks only at planar graphs and considers odd and even faces rather than odd and even cycles. He has shown that f(3,ω,4)=2ω and the bounds for the left cases. In this paper, we show the values of f(r,ω,ε) for the left cases where (r,ω,ε)∈{(3,3,ε),(4,3,ε),(5,3,ε), (3,5,ε)}

A new quasi-exactly solvable problem and its connection with an anharmonic oscillator

The two-dimensional hydrogen with a linear potential in a magnetic field is solved by two different methods. Furthermore the connection between the model and an anharmonic oscillator had been investigated by methods of KS transformation