In this paper, we characterise the classes of very strongly perfect graphs like cyclic graph, tadpole graph, barbell graph and friendship graph along with its independence number.
∗ Research supported in part by a USA Israeli BSF grant, by the Hermann Minkowski Minerva Center for Geometry at Tel Aviv University and by a State of New Jersey grant. † Research supported by Polish-US NSF grant INT-940671 and by NSF grant DMS-9704114. ‡ Research supported by Polish-US[r]
Abstract This is an account for the combinatorially minded reader of various categories of directed and undirected graphs, and their analogies with the category of sets. As an application, the endomorphisms of a graph are in this context not only composable, givi[r]
In the first case a candidate matrix A is eliminated if for one of the associated matrices E i there can be found a real vector x such that x E i x T < 0. Such a vector x is first computed using techniques from numerical algebra. Afterwards, to catch accumulations of rounding erro[r]
TRANG 1 _APPENDIX B_ _ATLAS OF CONTRACTED GRAPHS_ This appendix provides an atlas of contracted graphs having two to four independent loops.. TABLE B.1 Contracted Graphs Having Two to Fo[r]
TRANG 1 _APPENDIX B_ _ATLAS OF CONTRACTED GRAPHS_ This appendix provides an atlas of contracted graphs having two to four independent loops.. TABLE B.1 Contracted Graphs Having Two to Fo[r]
4.4 Computing parsability table To compute parsability scores, we assume there are two corpora c m and c a , where the first is a sub- corpus of the second. c m contains all sentences for which parsing was not successful. c a contains all sentences overall. For both corpora, we com- pute th[r]
I strongly agree with the idea: "physical exercises are very useful to our health" for the following reasons.. First of all, physical exercises make us stronger.[r]
Handshakes are also common in other parts of the world, including Britain and Russia.. In Russia, males grasp other men’s hands very strongly during the handshake.[r]
1 Introduction In [9] Milnor asked the following question. Does there exist a finitely generated group G such that the volume of the ball of radius n about the identity in the Cayley graph of G grows faster than polynomially but slower than exponentially? This question was a[r]
Following these works, we derive in this paper a general quasi-spectral characteri- zation of strongly distance-regular graphs. This includes, as particular cases, most of the previous results about such graphs, and allows us also to obtain some new results about t[r]
_ D Comparison with other continuous forms Compare the present perfect continuous has/have been doing and the past perfect continuous.. TRANG 4 _VICKY LOOKED VERY UPSET.[r]
We often use 'lately' and 'recently' to emphrasize the meaning of the sentence Sam has been having his car for two years. Not Correct Sam has had his car for two years. Correct I have been wanting to visit China for years. Not Correct
Exercise 3.The present perfect or the simple past tense: Put the verbs in brackets in the present perfect or the simple past tense?. He is very thirsty.[r]
TRANG 1 _APPENDIX C_ _ATLAS OF GRAPHS OF KINEMATIC CHAINS_ This appendix provides an atlas of graphs of kinematic chains having up to three independent loops and eight links.. TABLE C.1 [r]
TRANG 1 _APPENDIX C_ _ATLAS OF GRAPHS OF KINEMATIC CHAINS_ This appendix provides an atlas of graphs of kinematic chains having up to three independent loops and eight links.. TABLE C.1 [r]
Received 26 October 2007; received in revised form 4 December 2007 Abstract. We give sufficient conditions so that the union of two graphs with CR isolated singularities in C 2 is locally polynomially convex at a singularly point. Using this result and some ideas in previous work, we[r]
He will be tired because he will have been exercising so hard. This sentence emphasizes that he will be tired because he will have been exercising for a period of time until that moment. It is possible that he will still be exercising at that moment OR that he will just have finished.