Wang, Lele; Zhang, Zhao; Wu, Di; Wu, Weili; Fan, Lidan - In: Journal of Global Optimization 57 (2013) 4, pp. 1263-1275
For a connected graph <InlineEquation ID="IEq1"> <EquationSource Format="TEX">$$G=(V,E)$$</EquationSource> </InlineEquation> and a positive integral vertex weight function <InlineEquation ID="IEq2"> <EquationSource Format="TEX">$$w$$</EquationSource> </InlineEquation>, a max-min weight balanced connected <InlineEquation ID="IEq3"> <EquationSource Format="TEX">$$k$$</EquationSource> </InlineEquation>-partition of <InlineEquation ID="IEq4"> <EquationSource Format="TEX">$$G$$</EquationSource> </InlineEquation>, denoted as <InlineEquation ID="IEq5"> <EquationSource Format="TEX">$$BCP_k$$</EquationSource> </InlineEquation>, is a partition of <InlineEquation ID="IEq6"> <EquationSource Format="TEX">$$V$$</EquationSource> </InlineEquation> into <InlineEquation ID="IEq7"> <EquationSource Format="TEX">$$k$$</EquationSource> </InlineEquation> disjoint vertex subsets <InlineEquation ID="IEq8"> <EquationSource Format="TEX">$$(V_1,V_2,\ldots ,V_k)$$</EquationSource> </InlineEquation> such that each <InlineEquation ID="IEq9"> <EquationSource...</equationsource></inlineequation></equationsource></inlineequation></equationsource></inlineequation></equationsource></inlineequation></equationsource></inlineequation></equationsource></inlineequation></equationsource></inlineequation></equationsource></inlineequation></equationsource></inlineequation>
