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| 1 | A conjecture on k-factor-critical and 3-γ-critical graphs显示文摘For a graph G =(V,E),a subset VS is a dominating set if every vertex in V is either in S or is adjacent to a vertex in S.The domination number γ(G) of G is the minimum order of a dominating set in G.A graph G is said to be domination vertex critical,if γ(G-v) < γ(G) for any vertex v in G.A graph G is domination edge critical,if γ(G ∪ e) < γ(G) for any edge e ∈/E(G).We call a graph G k-γ-vertex-critical(resp.k-γ-edge-critical) if it is domination vertex critical(resp.domination edge critical) and γ(G) = k.Ananchuen and Plummer posed the conjecture:Let G be a k-connected graph with the minimum degree at least k+1,where k 2 and k≡|V|(mod 2).If G is 3-γ-edge-critical and claw-free,then G is k-factor-critical.In this paper we present a proof to this conjecture,and we also discuss the properties such as connectivity and bicriticality in 3-γ-vertex-critical claw-free graph. | WANG Tao1&YU QingLin2 1Institute of Applied Mathematics,College of Mathematics and Information Science,Henan University,Kaifeng 475001,China 2Department of Mathematics and Statistics,Thompson Rivers University,Kamloops,BC V2C5N3,Canada | 2010 | Science China Mathematics2010，53，5： | 2 |
| 2 | Tumor B7-H1 is associated with poor prognosis in renal cell carcinoma patients with long-term follow-up 显示文摘 | Thompson RH Kuntz SM Leibovich BC | 2006 | Cancer research2006，66，7： | 1 |
| 3 | Is renal sinus fat invasion the same as perinephric fat invasion for pT3a renal cell car- cinoma显示文摘 | Thompson RH Leibovich BC Cheville JC | 2005 | J Uro12005，174，： | 1 |
| 4 | Identification of sources of Escherichia coli in South Carolina estuaries using antibi- otic resistance analysis 显示文摘 | Webster LF Thompson BC Fulton MH | 2004 | J Exp Mar Bio and Ecol2004，298，2： | 1 |
| 5 | Should direct ipsilater-al adrenal invasion from renal cell carcinoma be classified as pT3a显示文摘 | Thompson RH Leibovich BC Cheville JC | 2005 | J Urol2005，147，3： | 1 |
| 6 | Apoptosis in the pathogenesis and treatment of disease显示文摘 | Thompson BC | 1995 | Science1995，267，5203： | 1 |
| 7 | Positive surgi- cal margins at partial nephreotomy:predictors and oncological out- comes显示文摘 | Yossepowiteh O Thompson RH Leibovich BC | 2008 | J Urel2008，179，6： | 1 |
| 8 | Apoptosis in the pathogenesis and treatment of disease显示文摘 | | 1995 | Science1995，267，5203： | 1 |
| 9 | Cyclosporin A ameliorates traumatic braininjury-induced alterations of hippocampal synaptic plasticity 显示文摘 | Alensi BC Sullival PG Thompson MB | 2000 | Exp Neurol2000，162，： | 1 |
| 10 | Is renal sinus fat invasion the same as perinephric fat invasion for pT3 renal cell carcinoma显示文摘 | Thompson RH Leibovich BC Cheville JC | 2005 | J Urol2005，174，： | 1 |
| 11 | Covalently linked biocompatible graphene/polycaprolactone composites for tissue engineering显示文摘 | S Sayyar E Murray BC Thompson | 2013 | Carbon2013，52，2： | 1 |
| 12 | Tumor B7-H1 is associated with poor prognosis in renal cell carcinoma patients with long-term follow-up显示文摘 | Thompson RH Kuntz SM Leibovich BC | 2006 | Cancer Res2006，66，7： | 1 |
| 13 | Tumor B7 HI is associated with poor prognosis in renal cell carcinoma patients with long term follow-up显示文摘 | Thompson RH Kuntz SM Leibovich BC | 2006 | Cancer Res2006，66，7： | 1 |
| 14 | Second primary malignancies associated with renal cell carcinoma histological sub- types显示文摘 | Thompson RH Leibovich BC Cheville JC | 2006 | J Urol2006，176，3： | 1 |
| 15 | Poor outcomes in hospitalized patients with gastrointestinal bleeding:impact of baseline risk,bleeding severity,and process of care 显示文摘 | Jairath V Thompson J Kahan BC | 2014 | Am J Gastroenterol2014，109，10： | 1 |
| 16 | Should direct ipsilateral adrenal invasion from renal cell carcinoma be classified as pT3a?显示文摘 | Thompson RH Leibovich BC Cheville JC | 2005 | J Urol2005，173，3： | 1 |
| 17 | Conducting polymers,dual neurotrophins and pulsed electrical stimulation-dramatic effects on neurite out growth显示文摘 | Thompson BC Richardson RT Moulton SE | | 0，，02： | 1 |
| 18 | Tumor B7-H1 is associated with poor prognosis in renal cell carcinoma patients with long-term follow-up显示文摘 | Thompson RH Kuntz SM Leibovich BC | 2006 | Cancer Res2006，66，： | 1 |
| 19 | Pregnancy in renal transplant recipients: the Royal Free Hospital experience 显示文摘 | Thompson BC Kingdon EJ Tuck SM | 2003 | QJM2003，96，： | 1 |
| 20 | 3 D printing of layered brain-like structures using peptide modified gellan gmn substrates 显示文摘 | Lozano R Stevens L Thompson BC | 2015 | Biomaterials2015，67，： | 1 |
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