机构:
Univ W Indies, Dept Math & Comp Sci, Ctr Graph Polynomials, St Augustine, Trinidad TobagoUniv W Indies, Dept Math & Comp Sci, Ctr Graph Polynomials, St Augustine, Trinidad Tobago
Farrell, EJ
[1
]
de Matas, CM
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机构:
Univ W Indies, Dept Math & Comp Sci, Ctr Graph Polynomials, St Augustine, Trinidad TobagoUniv W Indies, Dept Math & Comp Sci, Ctr Graph Polynomials, St Augustine, Trinidad Tobago
de Matas, CM
[1
]
机构:
[1] Univ W Indies, Dept Math & Comp Sci, Ctr Graph Polynomials, St Augustine, Trinidad Tobago
Let G be a graph and x, a component node, not in G. The suspended graph G+x is the graph formed by joining x to every node of G. A formula is given for the star polynomial of G+x. Explicit formulae are given for the suspended chain (the fan), the suspended cycle (the wheel) and the suspended star. Various results on the number of node-disjoint decompositions of these graphs into stars, are deduced.
机构:
Univ Victoria, Dept Math & Stat, POB 1700 STN CSC, Victoria, BC V8W 2Y2, CanadaUniv Victoria, Dept Math & Stat, POB 1700 STN CSC, Victoria, BC V8W 2Y2, Canada
Mynhardt, Christina M.
van Bommel, Christopher M.
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Univ Victoria, Dept Math & Stat, POB 1700 STN CSC, Victoria, BC V8W 2Y2, Canada
Univ Waterloo, Dept Combinator & Optimizat, Waterloo, ON, CanadaUniv Victoria, Dept Math & Stat, POB 1700 STN CSC, Victoria, BC V8W 2Y2, Canada